Factoring Polynomials Test

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•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Factor this "special case" quadratic: x² - 36
Back
(x + 6)(x - 6) - This is a difference of squares, which factors as (a² - b²) = (a + b)(a - b).
2.
FLASHCARD QUESTION
Front
Factor m² - 13m - 30
Back
(m - 15)(m + 2) - To factor, find two numbers that multiply to -30 and add to -13.
3.
FLASHCARD QUESTION
Front
Factor n² + 10n + 25
Back
(n + 5)² - This is a perfect square trinomial, which factors as (a + b)² = a² + 2ab + b².
4.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
x = (-b ± √(b² - 4ac)) / (2a) - Used to find the roots of a quadratic equation ax² + bx + c = 0.
5.
FLASHCARD QUESTION
Front
What is a polynomial?
Back
A mathematical expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, multiplication, and non-negative integer exponents.
6.
FLASHCARD QUESTION
Front
Define a quadratic polynomial.
Back
A polynomial of degree 2, typically in the form ax² + bx + c, where a ≠ 0.
7.
FLASHCARD QUESTION
Front
What is the difference of squares?
Back
A² - B² = (A + B)(A - B) - A special factoring case where the difference of two squares can be factored.
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