Question

What is the quotient and remainder when you divide x²+10x+24 by x+7?

A) Quotient: 0
, Remainder: 1x⁵
b) Quotient: x+3
, Remainder:3
c)Quotient: x+3
, Remainder:0
d)Quotient: 0
, Remainder:x+3

Answer 1

The quotient is x and the remainder is 3.

Step-by-step explanation:

To find the quotient and remainder when dividing x²+10x+24 by x+7, we can use polynomial division.

First, we divide the first term of the dividend by the first term of the divisor. x² / x = x.

Next, we multiply the divisor (x+7) by the quotient we just obtained (x) and subtract the result from the dividend (x²+10x+24). This gives us a new dividend: 3x+24.

Since the new dividend is a linear term and the divisor is also linear, we can divide them completely:

(3x+24) / (x+7) = 3

Therefore, the quotient is x and the remainder is 3.