Solving Quadratics by Factoring
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic equation?
Back
A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does it mean to factor a quadratic equation?
Back
Factoring a quadratic equation involves rewriting it as a product of two binomials, which can then be set to zero to find the solutions.
3.
FLASHCARD QUESTION
Front
What are the steps to solve a quadratic equation by factoring?
Back
1. Write the equation in standard form (ax² + bx + c = 0). 2. Factor the quadratic expression. 3. Set each factor equal to zero. 4. Solve for the variable.
4.
FLASHCARD QUESTION
Front
What are the roots of a quadratic equation?
Back
The roots of a quadratic equation are the values of x that make the equation equal to zero, also known as the solutions.
5.
FLASHCARD QUESTION
Front
How do you find the roots of the equation x² + 5x + 6 = 0 by factoring?
Back
Factor the equation as (x + 2)(x + 3) = 0. The roots are x = -2 and x = -3.
6.
FLASHCARD QUESTION
Front
What is the relationship between the coefficients and the roots of a quadratic equation?
Back
For a quadratic equation ax² + bx + c = 0, the sum of the roots is -b/a and the product of the roots is c/a.
7.
FLASHCARD QUESTION
Front
What is the zero-product property?
Back
The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.
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