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Please help asap 55 pts

Please help asap 55 pts-example-1

2 Answers

6 votes

Answer:

The correct option is option "C"

Explanation:

If you would like to factor the expression 20x^2 + 22x - 12, you can do this using the following steps:

20x^2 + 22x - 12 = 2 * (10x^2 + 11x - 6) = 2 * (5x - 2) * (2x + 3)

The correct result is = 2 * (5x - 2) * (2x + 3).

User Pavel Bely
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B can be eliminated, as 10x and 4x multiply to 40x^2, which is not in the expression.

The greatest common factor of all coefficients in the equation is 2. Divide all coefficients by 2 to get the following equation:


2(10x^(2) + 11x - 6)

We will leave out this coefficient, 2, for now.

We'll need to find the factors of c:

c = -6
Factors of 6: {1,2,3,6}

The only factors in the answer choices that fit this are 2 and 3. D can be eliminated.

5x and 2x multiply to 10x^2. 5x and 2x also modify what b will equal. Use the answer choices A and C to find b:

A.

(5x * -3) + (2x * 2) = -15x + 4x = -11x

C.

(5x * 3) + (2x * -2) = 15x - 4x = 11x

Answer C comes up with the correct b value.

The answer is C. 2(5x - 2)(2x + 3).