Express the polynomial as a product of linear factors.
f(x) = 2x2 + 4x2 - 2x - 4
O A. (x-2)(x + 1)(x - 1)
O B. (x-2)(x-2)(x-1)
O c. 2(x + 2)(x + 1)(x-1)
O D. (x-4)(x + 1)(x-1)
Answers
I attached a photo with the procedure in case you need it
The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)
We have,
To express the polynomial f(x) = 2x³ + 4x² - 2x - 4 as a product of linear factors, we can use a technique called factorization by grouping.
First, let's group the first two terms and the last two terms together:
f(x) = (2x³ + 4x²) + (-2x - 4)
Factor out the greatest common factor from each group:
f(x) = 2x²(x + 2) - 2(x + 2)
Notice that we now have a common factor of (x + 2) in both terms.
We can factor it out:
f(x) = (x + 2)(2x² - 2)
Now we can factor the quadratic expression 2x^2 - 2 by factoring out the greatest common factor of 2:
f(x) = (x + 2)2(x² - 1)
Now we can factor the expression x² - 1 as the difference of squares:
f(x) = (x + 2)2(x - 1)(x + 1)
Therefore,
The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)
Learn more about polynomials here:
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Related Questions
I rectangular prism with a square base has a high of 7 inches the base of the prism can be completely covered with no overlap by 16 squares that each have a edge length of 1 inch what is the total surface area of the rectangular prism
Answers
Answer:
144 square inches
Step-by-step explanation:
Total surface area of the rectangular prism = Sum of all the area of its sides
Since it has a square base which can be covered by 16 squares of length 1 inch each, then;
length of its base = 4 inches
So that,
i. Area of its base = [tex]length^{2}[/tex]
= [tex]4^{2}[/tex]
area of its base = 16 square inches
ii. Area of one of the surfaces of its sides = length x width (or base x height)
= 4 x 7
= 28 square inches
Sum of the area of its vertical sides = 4 x 28
= 112 square inches
Thus,
Total surface area of the prism = 16 + 16 + 112
= 144 square inches
Mr. Lucas baked 24 cookies. 3 fourths of the cookies were oatmeal. How many oatmeal cookies did Mr. Lucas bake?
Answers
Answer: 18 oatmeal cookies.
Step-by-step explanation:
Simplify divide 24 by 3/4 to find how many oatmeal cookies Lucas made.
24 x 3 = 72/4 = 18
Convert 7x - y = -9 to slope-intercept form.
Answers
Answer:
7=(-9+y)÷x
Step-by-step explanation:
Help, and please show your work.
Answers
Answer:
for #9:
tan 30=x/10
tan 30*10=x
x=5.77=5.8
for #10:
tan 40=4/x
x*tan 40=4
x=4/tan 40
x=4.76=4.8
Step-by-step explanation:
hope all that helped lol
Which expression is equivalent to
(x - 5y + 127
es =))
+
5
12
y - 10
ת|ס
+
5
-y + 12
12
5
+
12V - 10
D)
5
--X-
6
5
12
-y-10
Answers
Answer:
7isisissisisisisusjsjsjsjsjja
Step-by-step explanation:
kakqkqkqkakakskjdjdkeoesnzjzjkzjzjkssjsj
PLZ HELP I WILL GIVE BRAINLIEST
Answers
Answer:
a. the sign is interchange
it should be = x^2 - 3x + 4 - x^3 - 7x + 2
Answer:
see explanation
Step-by-step explanation:
(a)
The student has distributed the second parenthesis by 1 instead of - 1
(b)
Given
(x² - 3x + 4) - (x³ + 7x - 2)
distribute the first parenthesis by 1 and the second by - 1, that is
= x² - 3x + 4 - x³ - 7x + 2 ← collect like terms
= - x³ + x² - 10x + 6
A figure is shown
121
What is the value of x?
Keypad
1
2
3
4
5
6
7
8
9
0
ANSWER FAST ROR BRAINLIEST
Answers
WILL MARK!!
Select the correct answer.
Which function does this graph represent?
Answers
Answer:
I believe the answer is C
Step-by-step explanation:
Learn with an example
Select the expressions that are equivalent to 8(f + 3).
24f + 8
8f + 24
8(3 + 1)
(3 + 1/8
Answers
Explanation: You distribute the outside number to everything in the parentheses
pls help i dont get how to do it i only know how to plug in but how do u decide which one?
Answers
Answer:
-4,2
Step-by-step explanation:
gskskdmdj
hope it helps
HELP PLEASE!!! Picture below!
Length of Segments Practice
the the darom below to annwer questions
Answers
Answer:
7 (units)
Step-by-step explanation:
If E is placed at the number 6- then it would take 6 to get to 0. If B is placed at -1, then it would be one more backward to get to B- so it would take 7 to get from E to B.
A clothing business finds there is a linear relationship between the number of shirts, n (in thousands) it can sell and the price, P, it can charge per shirt. In particular, historical data shows that 3 thousand shirts can be sold at a price of $69 each, and that 7 thousand shirts can be sold at a price of $61 each Find the equation of the form P(n)=mn+b that gives the price P they can charge for n thousand shirts.
Answers
Answer:
[tex]P(n)=-2n+75[/tex]
Step-by-step explanation:
Let n represent the number of shirts in thousands and P represent the charge per shirt. n is the independent variable and P is the dependent variable.
Since 3000 shirts sell for $69 each, this can be represented as (3, 69). Also 7000 shirts sell for $61 each, this can be represented as (7, 61).
The equation showing the relationship is gotten using:
[tex]P-P_1=\frac{P_2-P_1}{n_2-n_1}(n-n_1) \\\\P-69=\frac{61-69}{7-3} (n-3)\\\\P=-2(n-3)+69\\\\P=-2n+75\\\\P(n)=-2n+75[/tex]
Multiply (9x + 2) (2x - 3). What is the product?
Answers
Answer:
18x^2-23x-6
Step-by-step explanation:
multiply: 9x*2x-9x*3+2*2x-2*3
18x^2-9X(3)3+2(2X)-2(3)
18X^2-27x+4x-6
18x^2-23x-6
the learner's sell 340 vetkoek for 15 weeks .They charge R12.00 for each vetkoek .Calculate the profit they will make if the cost for each vetkoek is R4.00 and the cost of all ingredients is R623.48 per week
Answers
Step-by-step explanation:
Price Paid for vetkoeksR4.00 × 340
= R1 360.00
Price paid for IngrediantsR623.48 × 15
= R9 352.20
Total amount paid for the VetkoeksR9 352.20 + R1 360
= R10 712.20
Amount they made from the vetkoeksR12.00 × 340
= R4 080
ProfitR4 080 - R10 712.20
= -R6 632.20
The learners are making a R6 632.20 Loss
HELP ASAP PLZ PLZ PLZ I GIVE BRAINLIEST
Answers
Answer:
12
Step-by-step explanation:
We can see that the base TA is 4, and the second base RS is 2. We can see that the height is 4. The area of a trapezoid is:
[tex]A=\frac{h(b_1+b_2)}{2}[/tex]
Using this, we can substitute, and get:
[tex]A=\frac{4\cdot(2+4)}{2} = \frac{24}{2} = 12[/tex]
Hope it helps!!
On Saturdays, Jasmyn works three hours more than Eve. Which expression represents how many hours Jasmyn works on Saturdays?
HELP MEEE!
Answers
(8.64 × 10^6) × (1.334 × 10^10)
Answers
Answer:
8.64x1.334x10^16
11.52576x10^16
Can anyone help me with this question please ?
Answers
What role does substitution play when determining whether or not a given value is a solution to an equation or an inequality?
Answers
Answer:
Help verify values
Step-by-step explanation:
I basically help prove that the value fits and verifies that equation or inequality. By substituting a value for the variable within the equation or inequality and then solving it as a regular expression it should correctly output the same value on the other side of the equation or make the inequality true. For example, using the following inequality...
3x + 2 > 4
We can substitute the variable x for 2 and solve the inequality, if the inequality is true then we know that the value 2 is a correct and verified value.
(3*2) + 2 > 4
6 + 2 > 4
8 > 4 ... True
1 1/2 years is how many months
Answers
12 + 6 = 18
There Are 12 In One Year.
Answer:
18 months
Step-by-step explanation:
12 + 6 months
The base of a triangle is 24 millimeters and the height is 7 millimeters. What is the area of the triangle?
Answers
168/2= 84 millimeters^2
Solve for the nearest tenth
Answers
Answer:
426.9
Step-by-step explanation:
What are ALL the 100 digits of pi?
Answers
Answer:
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679
Hope this helps; have a great day!
find 80% of quantity if 40% the quantity is 420.
Answers
Answer:
840
Step-by-step explanation:
If 40% of the total quantity is 420, then to find 80%, just double the number.
420*2=840
the first three terms of sequence are given round the nearest thousandth if necessary
12,15,18,..
Find the 32nd term
Answers
m=15-12
m=3
y=mx+b
12=3(1)+b
12=3+b
9=b
f(x)=3x+9
f(32)=3(32)+9
f(32)=96+9
f(32)=105
Answer:
105
Step-by-step explanation:
It is increasing by 3 everytime.
So you just use that and write down all numbers in order ascending to the 32nd term.
I'd list them all but I don't think you wanna read all of it.
Hope this helps.
The price of 600 grams of candy and 1.5 kg of cookies is $4.62. What is the price of one kg of cookies if it is $1.4 cheaper than 1 kg of candy?
Answers
Answer: $1.80
Step-by-step explanation:
600 grams - .6 kg
.6x+1.5y=4.62
y=x-1.4
.6x+1.5(x-1.4)=4.62
.6x+1.5x-2.1=4.62
2.1x=6.72
x=3.2 ( 1 KG of candy)
y=3.2-1.4
1.8=y (1 KG of cookies)
There was no actually pyramid for these questions it tells you the measurements in the problem though. please help me
Answers
l=8 in
w=12
h=?
V=l•w•h/3
448=8•12•h/3 multiply both sides by 3
3•448=96•h
1344=96•h
h=1344/96
h=14 in
V=l•w•h/3
h=4in
l=3in
w=2.5 in
V=?
V=4•3•2.5/3
V=30/3
V=10 in^3
Order the sides or angles of each triangle from least to greatest.
Answers
Answer:
Step-by-step explanation:
VW<WX<VX
25°<65°<90°
Are These shapes similar or congruent
Answers
Answer:
is it congruent !!!!!!!
Please help. TYSM <3
The ratio of two numbers is 4 to 7. The sum of the numbers is 253. Find the
two numbers.
Answers
Answer:
28 and 49 are the two numbers whose sum is 77.
Step-by-step explanation: