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Laabri

P5.8 - Remainder Theorem & Factoring Review

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Last updated over 4 years ago
9 Nsɛmmisa
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Watch this video for a review of the Remainder Theorem.

Watch this video for a review of applying the Remainder Theorem.

Watch this video for more applications.

Watch this video for a review of the Remainder Theorem.

Watch this video for a review of applying the Remainder Theorem.

Watch this video for more applications.

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

When the polynomial p(x) is divided by (x-5), there is a remainder of 7.

For what value of x must p(x) = 7?

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

When the polynomial q(x) is divided by (x+3), there is a remainder of 15.

What is q(-3)?

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

m(x) is a polynomial, and m(4) = 5.

What is the remainder when m(x) is divided by (x-4)?

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

The roots of the polynomial g(x) are {-1, 5, 7}. Which of the following binomials divides evenly into g(x) - that is, the remainder is 0?

Check all that apply.

For more review on solving by factoring, watch this video (and the videos in the sidebar).

When giving multiple solutions...

Use x={#, #...} format, with one space after each comma. List the real solutions first, in increasing order, then the imaginary solutions, in increasing order. Simplify all solutions.

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Solve by factoring.

8x3 - 2x2 = 0

Use x={#, #...} format, with one space after each comma. List the real solutions first, in increasing order, then the imaginary solutions, in increasing order. Simplify all solutions.

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Solve by factoring.

2x4 = 18x2

Use x={#, #...} format, with one space after each comma. List the real solutions first, in increasing order, then the imaginary solutions, in increasing order. Simplify all solutions.

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Solve by factoring.

2x3 + 1024 = 0

Use x={#, #...} format, with one space after each comma. List the real solutions first, in increasing order, then the imaginary solutions, in increasing order. Simplify all solutions.

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Solve by factoring.

x4 + 7x2 = 4x2 + 4

Use x={#, #...} format, with one space after each comma. List the real solutions first, in increasing order, then the imaginary solutions, in increasing order. Simplify all solutions.

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Solve by factoring.

x3 + 7x2 - 4x = 28

Use x={#, #...} format, with one space after each comma. List the real solutions first, in increasing order, then the imaginary solutions, in increasing order. Simplify all solutions.