Solve Quadratics by Factoring
Flashcard
•
Mathematics
•
7th - 10th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
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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 degree 2, typically in 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 means expressing it as a product of two binomials, such as (x - p)(x - q) = 0, where p and q are the solutions of the equation.
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
What are the solutions of the equation (x - 5)(x + 6) = 0?
Back
The solutions are x = 5 and x = -6.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
How do you find the zeros of a quadratic function?
Back
To find the zeros of a quadratic function, set the equation equal to zero and solve for x, either by factoring, using the quadratic formula, or completing the square.
Tags
CCSS.HSF-IF.C.7C
5.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What is the significance of the discriminant in a quadratic equation?
Back
The discriminant (b² - 4ac) determines the nature of the roots: if it's positive, there are two distinct real roots; if zero, one real root; if negative, two complex roots.
Tags
CCSS.HSA-REI.B.4B
7.
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 x.
Tags
CCSS.HSA-REI.B.4B
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