Question

What is the quotient of (x3 6x2 11x 6) ÷ (x2 4x 3)?

Answer 1

The quotient of (x³ + 6x² + 11x + 6) ÷ (x² + 4x + 3) is (x + 2) after factorization of the polynomial.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

$\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n$

We have a polynomial:

= x³ + 6x² + 11x + 6

The above polynomial is divided by x² + 4x + 3

= (x³ + 6x² + 11x + 6) ÷ (x² + 4x + 3)

To find the quotient:

$\rm =\dfrac{\left(x+1\right)\left(x+2\right)\left(x+3\right)}{x^2+4x+3}$

$\rm =\dfrac{\left(x+1\right)\left(x+2\right)\left(x+3\right)}{\left(x+1\right)\left(x+3\right)}$

$\rm =x+2$

Thus, the quotient of (x³ + 6x² + 11x + 6) ÷ (x² + 4x + 3) is (x + 2) after factorization of the polynomial.

Learn more about Polynomial here:

brainly.com/question/17822016

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