Solving Quadratic Equations by Factoring General Trinomial
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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16 questions
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1.
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 and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does it mean to factor a quadratic trinomial?
Back
Factoring a quadratic trinomial involves rewriting it as a product of two binomials, such as (x + p)(x + q), where p and q are numbers that satisfy the equation.
3.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is ax^2 + bx + c = 0.
4.
FLASHCARD QUESTION
Front
How do you find the roots of a quadratic equation by factoring?
Back
To find the roots, factor the quadratic into the form (x - r1)(x - r2) = 0, then set each factor equal to zero and solve for x.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
What is the relationship between the coefficients and the roots of a quadratic equation?
Back
For a quadratic equation ax^2 + bx + c = 0, the sum of the roots (r1 + r2) is -b/a and the product of the roots (r1 * r2) is c/a.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
Solve the quadratic equation by factoring: x^2 + 8x + 15 = 0
Back
x = -3, -5
Tags
CCSS.HSA-REI.B.4B
7.
FLASHCARD QUESTION
Front
Factor the quadratic trinomial: x^2 + 5x + 6
Back
(x + 2)(x + 3)
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