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Margarita [4]
3 years ago
9

Need help fast please! Factor by grouping. 6x³ + 24x² -7x -28 =

Mathematics
1 answer:
olchik [2.2K]3 years ago
5 0

Answer:

(x+4)(6x^2 - 7)

Step-by-step explanation:

Focus on the first 2 terms first and on the second 2 terms last:

6x^3 + 24x^2 = 6x^2(x+4)

-7x-28 = -7(x+4)

We see that the factor (x+4) is common to both pairs:  common to the first 2 terms and common to the last 2 terms.

Thus,

6x³ + 24x² -7x -28 = (x+4)(6x^2 - 7(x+4)

Factoring out x+4, we get (6x^2 - 7), and so 6x³ + 24x² -7x -28 in factored form is (x+4)(6x^2 - 7).

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Which of the following are solutions to 2x^2-8x-90? select all that apply.
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2x2 + -8x + -90 = 0

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Factor out the Greatest Common Factor (GCF), '2'.
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Factor a trinomial.
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Subproblem 1:

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

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-5 + -1x = 0

Solving
-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
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x = -5

Subproblem 2:

Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

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Divide each side by '-1'.
x = 9

Simplifying x = 9

Solution
x = {-5, 9}</span>
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