Polynomial Factoring and Solving

Flashcard
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
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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) raised to non-negative integer powers and coefficients. For example, 4x^3 + 5x^2 - 16x is a polynomial.
2.
FLASHCARD QUESTION
Front
What does it mean to factor a polynomial?
Back
Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees. For example, the polynomial x^2 - 9 can be factored as (x - 3)(x + 3).
3.
FLASHCARD QUESTION
Front
What is the zero-product property?
Back
The zero-product property states that if the product of two or more factors is zero, at least one of the factors must be zero. This is used to solve polynomial equations.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
How do you solve a polynomial equation?
Back
To solve a polynomial equation, you can set the equation to zero and factor it, then use the zero-product property to find the values of the variable that satisfy the equation.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
What is the degree of a polynomial?
Back
The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 4x^3 + 5x^2 - 16x, the degree is 3.
6.
FLASHCARD QUESTION
Front
What is a quadratic equation?
Back
A quadratic equation is a polynomial equation of degree 2, typically in the form ax^2 + bx + c = 0, where a, b, and c are constants.
7.
FLASHCARD QUESTION
Front
What is the difference of squares?
Back
The difference of squares is a special factoring pattern that states a^2 - b^2 = (a - b)(a + b).
Tags
CCSS.HSA.APR.C.4
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