Factor Quadratic Trinomials

Front

What is a quadratic trinomial?

Back

A quadratic trinomial is a polynomial of degree 2 that can be expressed in the form ax² + bx + c, where a, b, and c are constants.

Front

What does it mean to factor a quadratic trinomial?

Back

Factoring a quadratic trinomial involves rewriting it as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

What is the relationship between the roots and the factors of a quadratic trinomial?

Back

The roots of a quadratic trinomial are the values of x that make the trinomial equal to zero, and they correspond to the factors of the trinomial.

Front

How do you find the factors of a quadratic trinomial?

Back

To find the factors, look for two numbers that multiply to ac (the product of a and c) and add to b.

Front

Factor the expression: x² + 9x - 36

Back

(x + 12)(x - 3)

Front

Factor the expression: 21z² - 70z + 49

Back

7(3z - 7)(z - 1)

Front

Factor the expression: 2m² + 3m - 9

Back

(m + 3)(2m - 3)

Front

Factor the expression: 5g² + 15g + 10

Back

5(g + 2)(g + 1)

Front

Factor the expression: x² - 5x - 24

Back

(x - 8)(x + 3)