Question

What is the quotient (3x3 + 10x2 + 10x + 4) ÷ (x + 2)?

Answer 1

The correct choice is  B
3x^2 + 4x + 2

Answer 2

Answer:

Option B is correct.

$3x^2+4x+2$.

Step-by-step explanation:

We are asked to find the quotient obtained by dividing the expression $(3x^3+10x^2+10x+4)$ by the expression $(x+2)$

We can also write this expression as i.e. we are asked to find the value of the expression:

$\dfrac{3x^3+10x^2+10x+4}{x+2}$

We can write the expression on the numerator as:

$3x^3+10x^2+10x+4=(3x^2+4x+2)(x+2)$

Hence,

$\dfrac{3x^3+10x^2+10x+4}{x+2}=\dfrac{(3x^2+4x+2)(x+2)}{x+2}$.

Hence,

$\dfrac{3x^3+10x^2+10x+4}{x+2}=3x^2+4x+2$.

Hence, option B is correct.

Hence, the quotient is:

$3x^2+4x+2$.