131k views
5 votes
One of the factors of the polynomial x3 − 5x2 is x + 3. What is the other factor?

One of the factors of the polynomial x3 − 5x2 is x + 3. What is the other factor?-example-1

1 Answer

4 votes

Answer:

C. x² − 8x + 24 − 72/(x+3)

Explanation:

See attached picture for long division method.

Logically, we know x³ − 5x² factors to x² (x − 5). Since x + 3 isn't a factor, we know the remainder isn't 0. So we can narrow the options down to A or C.

One way to find the remainder is through long division. Or, since this is multiple choice, we multiply the options by x + 3 and see which one results in an answer of x³ − 5x².

(x + 3) (x² − 8x + 24 − 72/(x+3))

(x + 3) (x² − 8x + 24) − 72

x³ − 8x² + 24x + 3x² − 24x + 72 − 72

x³ − 5x²

One of the factors of the polynomial x3 − 5x2 is x + 3. What is the other factor?-example-1
User Bjarte Brandt
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories