Question

What is the quotient (3x2 + 4x − 15) ÷ (x + 3)?

A) 3x + 5
B) 3x − 5
C) 3x + 1
D) 3x − 1, r = 1

Answer 1

Choice B is the answer.

Explanation:

We have given a expression.

(3x² + 4x − 15) ÷ (x + 3)

We have to find the quotient of given expression.

Simplifying by factoring the numerator of the given expression, we have

(3x²+9x-5x-15) ÷ (x+3)

Making groups of numerator of above expression, we have

[ 3x(x+3)-5(x+3) ] ÷ (x+3)

Taking x+3 common from numerator of above expression, we have

[ (x+3)(3x-5) ] ÷ (x+3)

x+3 is common in numerator and denominator, we have

[ (3x-5) ]

3x-5 is the answer.

Answer 2

The correct answer is option B. 3x - 5

Explanation:

The given polynomial is 3

x² + 4x - 15

To find the quotient of polynomial division

(x² + 4x - 15)/(x - 3)

3x - 5

x-3 | 3x² + 4x - 15

3x² + 9x

-5x -15

-5x - 15

0

Therefore the quotient is 3x - 5

The correct answer is option B). 3x -5