Use long division to divide. $$ \frac{12x^4 + 8x^3 - 16x^2 - 15x - 4}{3x^2 + 2x - 1} $$ Select one: A. $$ 4x^2 - 11x - 8 $$ B. $$ 4x^2 - 4x - \frac{7x + 8}{3x^2 + 2x - 1} $$ C. $$ 4x^2 - 4 - \frac{7x + 8}{3x^2 + 2x - 1} $$ D. $$ 4x^2 - 7x - 12 $$
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Step 1
$$ \frac{12x^4}{3x^2} = 4x^2 $$ This is the first term of the quotient. Step 2: Multiply the divisor ($3x^2 + 2x - 1$) by the first term of the quotient ($4x^2$). $$ 4x^2(3x^2 + 2x - 1) = 12x^4 + 8x^3 - 4x^2 $$ Step 3: Subtract this result from the dividend. $$ Show more…
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