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TiliK225 [7]
3 years ago
5

Select the correct answer. Simplify the expression below. 4x(3x − 7) − 19x2 A. -7x2 − 7 B. -35x2 C. -7x2 − 28x D. -31x2 − 28x

Mathematics
1 answer:
morpeh [17]3 years ago
5 0

Answer:

C. -7x^2-28x

Step-by-step explanation:

The given expression is 4x(3x-7)-19x^2

We apply the distributive property to expand the parenthesis

12x^2-28x-19x^2

Regroup similar terms to get:

12x^2-19x^2-28x

Combine the similar terms to obtain:

-7x^2-28x

The correct option is C.

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Dennis_Churaev [7]

Answer:

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Step-by-step explanation:

Rearrange the equation into standard form

Subtract 9 - 30x from both sides

24x² + 30x - 9 = 0 ← in standard form

Take out 3 as a common factor

3(8x² + 10x - 3) = 0 ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term

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The factors are - 2 and + 12

Use these factors to replace the x- term, that is

8x² - 2x + 12x - 3 ( factor the first/second and third/fourth terms )

2x(4x - 1) + 3(4x - 1) ← take out the common factor (4x - 1)

(4x - 1)(2x + 3)

24x² + 30x - 9 = 3(4x - 1)(2x + 3) ← in factored form

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