P5.8 - Remainder Theorem & Factoring Review
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Last updated almost 4 years ago
9 questions
Note from the author:
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.
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?
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?
1
When the polynomial q(x) is divided by (x+3), there is a remainder of 15.
What is q(-3)?
When the polynomial q(x) is divided by (x+3), there is a remainder of 15.
What is q(-3)?
1
m(x) is a polynomial, and m(4) = 5.
What is the remainder when m(x) is divided by (x-4)?
m(x) is a polynomial, and m(4) = 5.
What is the remainder when m(x) is divided by (x-4)?
1
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.
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.
1
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.
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.
1
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.
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.
1
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.
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.
1
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.
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.
1
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.
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.