HW 5.3 Factoring Quadratic Functions

Front

What is the factored form of the trinomial x^2 + 10x + 25?

Back

(x + 5)^2

Front

Factor the trinomial x^2 - 5x - 6.

Back

(x - 6)(x + 1)

Front

What is the factored form of the trinomial x^2 + 7x + 10?

Back

(x + 5)(x + 2)

Front

Solve for x: (x - 8)(x + 7) = 0.

Back

x = 8 and x = -7

Front

Factor the expression x^2 - 25.

Back

(x + 5)(x - 5)

Front

What is a quadratic function?

Back

A polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What does it mean for a quadratic to be factorable?

Back

It means that the quadratic can be expressed as a product of two binomials.

Front

What is the zero-product property?

Back

If ab = 0, then either a = 0 or b = 0.

Front

What is the vertex form of a quadratic function?

Back

f(x) = a(x - h)^2 + k, where (h, k) is the vertex.