Factoring Quadratic Trinomials a = 1

Front

What is a quadratic trinomial?

Back

A quadratic trinomial is a polynomial of the form ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic trinomial?

Back

Factoring a quadratic trinomial means 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 first step in factoring a quadratic trinomial?

Back

Identify two numbers that multiply to 'c' and add to 'b'.

Front

Factor the trinomial: k² + 3k - 10

Back

(k - 2)(k + 5)

Front

Factor the trinomial: x² + 5x - 36

Back

(x + 9)(x - 4)

Front

Factor the trinomial: n² + 16n + 63

Back

(n + 7)(n + 9)

Front

Factor the trinomial: x² - 8x + 15

Back

(x - 5)(x - 3)

Front

Factor the trinomial: a² - a - 12

Back

(a - 4)(a + 3)

Front

What is a binomial?

Back

A binomial is a polynomial with two terms.