Question

Realize

ALGEBRA II SWOPE (A) (LMS)
3.4 Practice (LMS graded)
If a polynomial is divided by (x+4), the quotient is x²-x+7, and the remainder is -4. Find the original polynomial
The original polynomial is
(Simplify your answer. Do not factor)

Answer 1

To find the original polynomial when divided by (x+4) with a given quotient and remainder, we substitute the remainder into the quotient.

Step-by-step explanation:

To find the original polynomial, we can use the fact that the remainder is given by substituting -4 for x in the quotient. So, substituting -4 into the given quotient x²-x+7, we get (-4)²-(-4)+7 = 16+4+7 = 27.

Therefore, the original polynomial is (x+4)(x²-x+7) + (-4) = (x³+3x²+3x+7).

Learn more about dividing polynomials