
Flashcard 5 (Factoring and Solving Quadratics)
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is the general form of a quadratic equation?
Back
The general form of a quadratic equation is 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 polynomial?
Back
Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.
3.
FLASHCARD QUESTION
Front
What is the difference of squares formula?
Back
The difference of squares formula states that a² - b² = (a + b)(a - b).
Tags
CCSS.HSA.APR.C.4
4.
FLASHCARD QUESTION
Front
How do you solve a cubic equation like 5x³ - 7x² = 0?
Back
To solve a cubic equation like 5x³ - 7x² = 0, factor out the common term, which gives x²(5x - 7) = 0, leading to solutions x = 0 and x = 7/5.
Tags
CCSS.HSA-REI.B.4B
5.
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.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.
Tags
CCSS.HSA-REI.B.4B
7.
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 positive, there are two distinct real roots; if zero, one real root; if negative, two complex roots.
Tags
CCSS.HSA-REI.B.4B
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