Factoring Quadratics Practice

Front

What is the factored form of 25x^2 - 9?

Back

(5x + 3)(5x - 3)

Front

Factor out the greatest common factor from 2c^2 + 2c - 84.

Back

2(c + 7)(c - 6)

Front

Find the factors of 100x^2 - 64.

Back

(10x - 8)(10x + 8)

Front

Factor 3a^2 + 4a + 1.

Back

(3a + 1)(a + 1)

Front

Factor x^2 - 10x - 24.

Back

(x - 12)(x + 2)

Front

What is the definition of a quadratic equation?

Back

A polynomial equation of the form ax^2 + bx + c = 0, where a ≠ 0.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax^2 + bx + c.

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the parabola, given by the coordinates (h, k) in the vertex form y = a(x - h)^2 + k.

Front

What is the quadratic formula?

Back

x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}.

Front

What does it mean for a quadratic to be factorable?

Back

It can be expressed as a product of two binomials.