Dividing Polynomials by Binomials
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•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a polynomial?
Back
A polynomial is a mathematical expression consisting of variables (also called indeterminates) and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents.
2.
FLASHCARD QUESTION
Front
What is a binomial?
Back
A binomial is a polynomial that contains exactly two terms, which are typically separated by a plus or minus sign.
3.
FLASHCARD QUESTION
Front
What does it mean to divide polynomials?
Back
Dividing polynomials involves finding how many times a polynomial (the dividend) can be divided by another polynomial (the divisor), resulting in a quotient and possibly a remainder.
Tags
CCSS.HSA.APR.D.6
4.
FLASHCARD QUESTION
Front
What is synthetic division?
Back
Synthetic division is a simplified method of dividing a polynomial by a binomial of the form (x - c), which is faster than long division.
Tags
CCSS.HSA.APR.D.6
5.
FLASHCARD QUESTION
Front
What is the Remainder Theorem?
Back
The Remainder Theorem states that when a polynomial f(x) is divided by (x - c), the remainder of that division is equal to f(c).
Tags
CCSS.HSA.APR.B.2
6.
FLASHCARD QUESTION
Front
What is the Factor Theorem?
Back
The Factor Theorem states that (x - c) is a factor of the polynomial f(x) if and only if f(c) = 0.
Tags
CCSS.HSA.APR.B.2
7.
FLASHCARD QUESTION
Front
How do you factor a quadratic polynomial?
Back
To factor a quadratic polynomial of the form ax^2 + bx + c, find two numbers that multiply to ac and add to b, then rewrite the polynomial using these numbers.
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