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9. What is the quotient of (x3 + 2x2 - x+6) + (x + 3)?


9. What is the quotient of (x3 + 2x2 - x+6) + (x + 3)? ​-example-1
User Ben Ruijl
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2 Answers

1 vote

Answer:

x^3 + 2x^2 - x + 6

Explanation:

Please write that as x^3 + 2x^2 - x + 6, where the " ^ " indicates exponentiation.

Use synthetic division to determine whether or not (x + 3) is a factor of x^3 + 2x^2 - x + 6. If you don't know synthetic division, then divide x^3 + 2x^2 - x + 6 by x + 3 using long division.

Using synthetic division:

Identify the coefficients of this x^3 + 2x^2 - x + 6: They are 1, 2, -1 and 6.

Set up synthetic division:

-3 / 1 2 -1 6

-3 3 -6

-----------------------

1 -1 2 0

Because the remainder is zero, we now know that (x + 3) is a factor and that the quoitient is

1x^2 - x + 2

User IshanGarg
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3.5k points
3 votes

Answer:

C

Explanation:

correct me if i am wrong

User Frank Boucher
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2.8k points