Mathematics: Find the quotient. (12x 2 - 10x -12) ÷ (3x + 2) 2x - 3 4x + 6 3x + 2 4x - 6

Find the quotient. (12x 2 - 10x -12) ÷ (3x + 2) - id12210123223201607, smithsa10630

IsabellaGracie

06.01.2022

ANSWER

4x - 6

EXPLANATION

The given quotient is

$\frac{12 {x}^{2} - 10x - 12}{3x + 2}$

We split the middle term to obtain;

$\frac{12 {x}^{2} - 18x + 8x- 12}{3x + 2}$

Factor:

$\frac{6x( 2x - 3) + 4(2x- 3)}{3x + 2}$

$\frac{( 2x - 3)(6x+ 4)}{3x + 2}$

$\frac{2( 2x - 3)(3x+ 2)}{3x + 2}$

= 2(2x - 3)

= 4x - 6

The last choice is correct.

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Reese8693

09.07.2020

Translate ΔPQR by the rule (x + 1, y − 1), and dilate ΔP′Q′R′ by a scale factor of 2 from point R.

Step-by-step explanation:

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