Factor Trinomials a=1

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of three terms, typically in the form ax^2 + bx + c.

Front

What does it mean to factor a trinomial?

Back

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

Front

What is the general form of a trinomial with a leading coefficient of 1?

Back

The general form is x^2 + bx + c.

Front

How do you identify the coefficients in a trinomial?

Back

In the trinomial ax^2 + bx + c, 'a' is the coefficient of x^2, 'b' is the coefficient of x, and 'c' is the constant term.

Tags

CCSS.6.EE.A.2B

Front

What is the first step in factoring a trinomial?

Back

The first step is to identify two numbers that multiply to 'c' and add to 'b'.

Front

What is the factored form of x^2 - 13x - 30?

Back

(x + 2)(x - 15) is the factored form.

Front

How do you factor n^2 + 16n + 63?

Back

Find two numbers that multiply to 63 and add to 16, which are 7 and 9, giving the factored form (n + 7)(n + 9).

Front

What is the factored form of k^2 - 16k + 28?

Back

(k - 2)(k - 14) is the factored form.

Front

What is the factored form of a^2 - a - 12?

Back

(a - 4)(a + 3) is the factored form.

Front

How do you factor x^2 - 4x - 32?

Back

Find two numbers that multiply to -32 and add to -4, which are -8 and 4, giving the factored form (x + 4)(x - 8).