What is the quotient (3x2 + 4x - 15) : (x + 3) ?

A) 3x + 5

B) 3x - 5

C) 3x + 1

D) 3x - 1, r = 1

The correct answer is option B. 3x - 5

Step-by-step 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

Choice B is the answer.

Step-by-step 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.