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Find the equation whose roots are $-\frac{2}{3}$ and 3...

Find the equation whose roots are $-\frac{2}{3}$ and 3

A.

3x²+11x-6=0

B.

3x²+7x+6=0

C.

3x²-11x-6=0

D.

3x²-7x-6=0

View answer & explanation

Correct answer is D

$x = -\frac{2}{3} \implies x + \frac{2}{3} = 0$

$x = 3 \implies x - 3 = 0$

$\implies (x - 3)(x + \frac{2}{3}) = 0$

$x^2 - 3x + \frac{2}{3}x - 2 = 0$

$x^2 - \frac{7}{3}x - 2 = 0$

$3x^2 - 7x - 6 = 0$

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