Question

What is the quotient (2x3 − 3x2 − 14x + 15) ÷ (x − 3)?

a. 2x2 + 3x − 5
b. 2x2 − 3x + 5
c. 2x2 − 3x − 5
d. 2x2 + 3x + 5

Answer 1

2x^2 + 3x - 5

Hope this helps!

Answer 2

Answer: The correct option is (a)
`2x^2+3x-5.`

Step-by-step explanation: We are given to find the quotient in the following division :

`Q=(2x^3-3x^2-14x+15)/(x-3).`

To find the quotient, first we will try to factorize the numerator and then we will try to divide by the denominator.

We have

`Q\\\\\\=(2x^3-3x^2-14x+15)/(x-3)\\\\\\=(2x(x-3)+3x(x-3)-5(x-3))/(x-3)\\\\\\=((x-3)(2x^2+3x-5))/((x-3))\\\\=2x^2+3x-5.`

Thus, the required coefficient is
`2x^2+3x-5.`

Option (a) is CORRECT.