3 years ago

Factor 4x^2 - 4x - 24

Mathematics

2 answers:

OLEGan [10]3 years ago

5 0

Answer:

4(x - 3)(x + 2)

Step-by-step explanation:

Given

4x² - 4x - 24 ← factor out 4 from each term

= 4(x² - x - 6) ← factor the quadratic

= 4(x - 3)(x + 2)

sladkih [1.3K]3 years ago

4 0

$\huge\boxed{ \underline{ \mathbf{Answer :}}}$

$\hookrightarrow4 {x }^{2} - 4x - 24$

$\hookrightarrow4 {x}^{2} - 12x + 8x - 24$

$\hookrightarrow4x(x - 3) + 8(x - 3)$

$\hookrightarrow(4x + 8)(x - 3)$

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Write 12 as a product of its prime factors

Minchanka [31]

Answer:

the Prime Factors of 12 are: 2, 2, 3.

Step-by-step explanation:

Therefore 12 = 2 X 2 X 3.

6 0

3 years ago

Rewrite the following quadratic fiction in vertex form. Then, determine if it has a maximum or minimum and say what that value i

hram777 [196]

First subtract the constant to the other side to simplify it for now
y-5=-x^2+6x
Then pull out a common factor so the coefficient is x^2
y-5=-1(x^2-6x)
Next you take 1/2 of the b value (-6) and square it to find your c value
[1/2(-6)]^2=9
After that plug 9 into your equation as your c value
y-5=-1(x^2-6x+9)
Adding the C-value (9) causes the equations to become unbalanced so you need to balance them back out by minus 9 to the other side
y-14=-1(x^2-6x+9)
Now you want to simplify the equation on the right side.
y-14=-1(x-3)^2
Finally you want to add the constant back to the right side.
y=-1(x-3)^2+14 <——— vertex form

maximum=(3,14)

5 0

4 years ago

Solve for x.<br> -2x + 6 ≤ 20<br><br> Please include steps.

s2008m [1.1K]

I hope this is helpful and sorry for my handwriting