How can you determine whether a linear binomial is a factor of a polynomial without using the remainder theorem?

Answers

Answer 1

A linear binomial is a factor of a polynomial if the polynomial value is 0 at the zeros of the linear binomial

How to determine the factor?

Assume a polynomial function is

P(x) = (x - 3)(x + 1)(x -2)

And a linear binomial is:

x - 3 = 0

We start by calculating the value of x in x - 3 = 0

x = 3

Next, we substitute x = 3 in P(x) = (x - 3)(x + 1)(x -2)

P(3) = (3 - 3)(3 + 1)(3 -2)

Evaluate

P(3) = 0

Since P(3) = 0, then the linear binomial x - 3 is a factor of P(x) = (x - 3)(x + 1)(x -2)

Read more about remainder theorem at:

https://brainly.com/question/13328536

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Related Questions

What does it mean buy “Determine the total volume of the doghouse.”

I’ve already done all the work for each shapes on a dog house, I figured out all the volumes for each but does this question mean, do I add all my volume together? They are all really big numbers

Answers

can you give the question?i can help you solve it

x/3 + 1/1
pls answer if you know ​

Answers

Answer:

[tex]\frac{x}{3} + \frac{1}{1} = \frac{x+3}{3}[/tex]

Step-by-step explanation:

[tex]\frac{x}{3} + \frac{1}{1} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ LCM \ of \ 1 , 3 = 3 \ ]\\\\= \frac{x}{3} + \frac{1 \times 3}{1 \times 3} \\\\= \frac{x}{3} + \frac{3}{3}\\\\=\frac{x+ 3}{3} \\\\[/tex]

Answer:

[tex] \frac{x + 3}{3} [/tex]

Step-by-step explanation:

[tex] \frac{x}{3} + \frac{1}{1} \times \frac{3}{3}[/tex][tex] \frac{x }{3} + \frac{3}{3} [/tex][tex] \frac{x + 3}{3} [/tex]Hope it is helpful....

20 BRLAIFAST
NELS
PURCHASE
BAUNE OF
CUT CARD IN
COUPS
50
Jimmy was given a gift card to
his favorite breakfast restaurant.
What equation represents the
balance of the gift card in
dollars, y, when x amount of
breakfast meals are purchased?
35
20
6
5

Answers

Cono Bueno no entiendo

Please help I put 74 points there is an image

Answers

Answer:

x = 37 y = 27

Step-by-step explanation:

x = y + 10

x + y = 64

y + 10 + y = 64

y = 27

64 - 27 = 37

Answer:

What coatside dad said

Step-by-step explanation:

1. Deborah finds that the theoretical probability of flipping "heads" on a fair coin was
50%. After she flipped the fair coin 100 times, she calculated that she Flipped "heads"
45 times. What is the percent difference in theoretical and experimental probability?

Answers

Answer:

29

Step-by-step explanation:

If you calculate the difference with the 45 and percentage you will get 29 including with the X and - should be east

A bag contains 60 marbles of different colours. The probability of randomly selecting a red marble is 5/12. How many red marbles does the bag contain?

Answers

Answer:

25 red marbles

A mobile set is sold for Rs 6,630 after a discount of 15%. Find the marked price of the mobile set.

Answers

Answer:

MP = RS 7,800

Step-by-step explanation:

Let

Marked price = MP

MP x (100 – 15) / 100 = Rs 6,630

MP × (85)/100 = Rs 6,630

MP = Rs 6,630 ÷ 85/100

MP = 6,630 × 100/85

MP = 663,000/85

MP = 7,800

MP = RS 7,800

Find the product of 21 and (6.3 · 10x^{-4} ).

1.) 1.323 · 10 x^{2}
2.) 1.323 · 10 x^{-3}
3.) 0.1323 · 10 x^{-1}
4.) 1.323 · 10 x^{l2}

Answers

Answer:

1.  13.23x^2

2.  13.23/x^3

3 .  1.323/x

4.13.23x^12

Step-by-step explanation:

pls mark me brainlest if u can those took forever lol

Line AB passes through points A (-6,6) and B(12,3). If the equation of the line is written in slope-intercept form, y=mx+b, the. m=-16. What is the value of b?

Answers

Answer:

You wrote the question wrong...

m is not -16 it is -1/6 (that is a big difference)

y=mx+b

y=-1/6x+b

3 = -1/6(12) + b

3 = -2 + b

b=5

Step-by-step explanation:

round to the nearest whole number than add 4.208 + 2.482



Answers

4.208 + 2.482= 6.69 so rounding that would be 7                                      

4.208 + 2.482 = 6.69

When we round it to the nearest, it becomes 7.

Hope it helps you..

Help ASAP. I will give brainliest

Answers

Answer:

Step-by-step explanation:

Hope this helps u !!

Two radar stations 2.5 miles apart are tracking an airplane. the straight-line distance between Station A and the plane is 7 miles. the straight-line distance between station B and the plan is 9 miles. What is the angle of elevation from Station B to the plane?

Answers

Answer: Hi the answer would be 32 Degrees

Step-by-step explanation:

The answer to this question is 32 degrees

Please help me!!! I would really appreicate it but if you can't that is okay I understand :)
(MULTIPLE CHOICE)

Answers

It would be D
Because since each small square represents 2 kg. The left scale would be balanced by 10kg(2x5=10) and the left one would be 8kg(2x4=8). Therefore D would be the answer. I hope it helps)

which of the following is a convex polygon? ​

Answers

Answer:

option b is the correct answer

Step-by-step explanation:

in convex polygon, none of the interior angle is greater than 180deg.


plsss helppp i have 1hr left

What is the value of x in the equation *x - y = 30, when y = 15?
O 4
8
O 80
O 200

Answers

Answer:

Is there an option of 45

Step-by-step explanation:

x-15=30

so +15

x=45

What is the simple interest on $7430 invested for 3 years at 5% per annum simple interest?​

Answers

Step-by-step explanation:

Simple interest=principal× time× rate/100

=7430×3×5/100

=1114.5

Answer:

114.5

Step-by-step explanation:

Your purchase a T-shirt with a label pre-tax price of $17 the local sale price rate is 5% what is your final cost including tax

Answers

Answer: $17.85

Step-by-step explanation:

The tax on the T-shirt is 5% and the price is $17.

To find the after-tax cost, first find the tax amount:

= 5% * 17

= $0.85

Then add this tax amount to the price to find the after-tax amount:

= 17 + 0.85

= $17.85

Find the value of x.

Answers

Answer:

Step-by-step explanation:

Vertically opposite angles are equal

8x + 2 = 7x + 11

Subtract 2 from both sides

8x    = 7x + 11 - 2

8x  = 7x + 9

Subtract 7x from both sides

8x - 7x = 9

x = 9

Determine the equation of the line that passes through (5,2)and has the same y-intercept as y = 3

Answers

Answer:

y = -0.2(x) + 3

Step-by-step explanation:

One way to find an equation for a line is to find two points and go from there. To find the second point, we can note that the y intercept means when x=0. In the line y=3, y is always 3, so when x=0, y = 3.

Our two points are then (5, 2) and (0,3)

To find the slope, we can use

[tex]\frac{y_2 - y_1}{x_2-x_1} = \frac{3-2}{0-5} \\= \frac{1}{-5} \\= -0.2[/tex]

Using the formula y = mx + b and the slope m = -0.2, plugging into (5, 2) and solving for b, we get

2 = -0.2 (5)  +b

2 = -1 + b

add 1 to both sides to isolate the b

b = 3

Our formula is thus

y = -0.2(x) + 3

7
Mr Johns needs four different lengths of pipe.
2.8 m
4.1 m
0.4 m
The pipe costs £1.34 per metre.
Work out the total cost of the pipes Mr Johns needs to buy.
Round your answer to the nearest penny.
Ict
ance is

Answers

Answer:

something.....................

Miss Chambers bought 5 pens for $255, if she made a profit of $3 each per pen how much did she sell a pen for?​

Answers

Answer:

$54

Step-by-step explanation:

First, we calculate the amount she paid for each pen.

$255/5 = $51

She paid $51 for each pen.

She made a profit of $3 per pen, so she sold each pen for $51 + $3 = $54

Answer: $54

What's The actual length of QR (round to 3 decimal places) ?

Answers

Answer:

4.383

Step-by-step explanation:

Pythagoras

a² + b² = c²

with c being the baseline of the rectangular triangle (the line opposite to the 90 degree angle).

so, in our example here c=6.5cm, a=QR, b=4.8cm

a² = c² - b² = 6.5² - 4.8² = 19.21

a = sqrt(19.21) = 4.383

Les is measuring the border of her bulletin board. She measures around the entire outside of the bulletin board and finds the distance is 32 units.
Which measurement does 322 units represent?

Answers

Perimeter of the board

I really need help please

Answers

Answer:

-2/3

Step-by-step explanation:

The slope would be negative 2 over 3

what are the zeros of the function f(x)=x^2-3x?​

Answers

X= 0,3

Do you want me to explain why?

A fish-tank has a length of 27 centimeters, a width of 21 centimeters and a depth of 16 centimeters. Find the volume of the fish-tank.

Answers

Answer:

To find the volume of the fish tank, we will need to multiply the height, the length, and the width of the fish tank. So, 21 x 27 x 16 = 9072 cm

Answer:

9027 cm^3

Step-by-step explanation:

V= L*W*H

V=27cm*21cm*16cm

V=567*16

V=9072 cm^3

The cm is cubed because you are also multiplying cm*cm*cm So, it would be cm cubed or cm^3

Reduce £20 by 15%

:
:
:
:
:
:


Answers

Answer:

the new value is 17 and the absolute change is -3

Step-by-step explanation:

take 20 and subtract your percentage increase

20 - (15% × 20) =

20 - 15% × 20 =

(1 - 15%) × 20 =

(100% - 15%) × 20 =

85% × 20 =

85 ÷ 100 × 20 =

85 × 20 ÷ 100 =

1,700 ÷ 100 =

helppppppp pllzzzzzzzzzzzz

Answers

The answer is D. Hope this helps

Answer:

D 1/25

Step-by-step explanation:

5 multiplied by the negative second power is .04, .04 times 25 equals 1.

Find the 6th term in the
sequence.
5, 20, 80,...
Hint: Write a formula to help you.
1st ferm - Common Ratio desired term - 1)

Answers

Answer:

5,120

Step-by-step explanation:

5x4=20

20×4=80

80x4=320

320x4=1,280

1,280x4=5,120

Hope this helps! :)

Answer:

Step-by-step explanation:

first term a=5

common ratio r=20/5=4

[tex]a_{n}=ar^{n-1}\\a_{6}=5(4)^{6-1}\\=5(4)^5\\=5120[/tex]

Write this percentage as a fraction in its simplest form.
30%​

Answers

Answer:

30/100

Step-by-step explanation:

30% as a fraction is 3/10; In simplest form is 30% = 30/100.

The answer is 3/10 :)
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