Question

Use long division to find the quotient below:

(4x^3 +11x ^ 2+9)÷(x+3)
a. 4x^2 −2x+3
b. 4x^2 −x+3
c.4x^ 2 +2x+3
d. 4x ^2 +x+3

Answer 1

By performing long division, the quotient of the polynomial (4x^3 + 11x^2 + 9) divided by (x + 3) is found to be 4x^2 - x + 3.

Step-by-step explanation:

To solve the division of the polynomial (4x^3 + 11x^2 + 9) by (x + 3) using long division, start by dividing the first term of the dividend, 4x^3, by the first term of the divisor, x, which gives you the first term of the quotient, 4x^2. Subtract the product of the divisor and 4x^2 from the dividend to find the new dividend.

Repeat the process with the new dividend until you reach the constant term. The final quotient should not have a remainder since the divisor is a factor of the dividend.

4x^2 - x + 3