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5 votes
What polynomial has quotient
x^2 + 6x − 2 when divided by x + 3?

1 Answer

8 votes

Answer:


x^3+9x^2+16x-6

Explanation:

When you learned to divide numbers, you said that 10 divided by 2 has quotient 5 since 5 times 2 was 10.

Same difference, let's multiply the two polynomials:


(x^2+6x-2)(x+3) = x^3+9x^2+16x-6.

that assuming that you want no remainder. If you care about the remainder, just change the constant term with anything you want. the distance from
-6 will be your remainder.

User Santosh Jagtap
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