Question

Find the Quotient and the Remainder when the first polynomial is divided by the second:

$4p^3+7$ by $-p+3$

• A. Quotient: $-4p^2-12p-36$; Remainder: $115$
• B. Quotient: $4p^2-12p-36$; Remainder: $115$
• C. Quotient: $-4p^2+12p-36$; Remainder: $115$
• D. Quotient: $-4p^2-12p-36$; Remainder: $113$

Answer 1

The correct option is A Quotient: $-4p^2-12p-36$; Remainder: $115$

	$-4p^2-12p-36$
$-p+3$	$4p^3+7$ $4p^3+12p^2$
	$-12p^2+7$ $12p^2-36p$
	$36p+7$ $36p-108$
	$115$

$(4p^3+7)÷$ $(-p+3)=-4p^2-12p-36$