Factoring Quadratic Polynomials (a=1)

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Define a quadratic polynomial.
Back
A quadratic polynomial is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic polynomial?
Back
The standard form of a quadratic polynomial is written as f(x) = ax² + bx + c.
3.
FLASHCARD QUESTION
Front
What does it mean to factor a quadratic polynomial?
Back
Factoring a quadratic polynomial means expressing it as a product of two binomials.
4.
FLASHCARD QUESTION
Front
What is the factored form of y² + 2y - 24?
Back
(y + 6)(y - 4)
5.
FLASHCARD QUESTION
Front
How do you find the factors of a quadratic polynomial?
Back
To find the factors, look for two numbers that multiply to 'c' and add to 'b' in the polynomial ax² + bx + c.
6.
FLASHCARD QUESTION
Front
What is the significance of the leading coefficient in a quadratic polynomial?
Back
The leading coefficient (a) determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.
7.
FLASHCARD QUESTION
Front
What is the vertex of a parabola represented by a quadratic polynomial?
Back
The vertex is the highest or lowest point of the parabola, found at the point (-b/2a, f(-b/2a)).
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