Factoring Trinomials (a=1)

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of three terms, typically in the form ax² + 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 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 coefficients and the roots of a trinomial?

Back

The sum of the roots is equal to -b/a and the product of the roots is equal to c/a.

Front

How do you factor x² - 15x + 36?

Back

(x - 12)(x - 3) is the factored form.

Front

How do you factor m² - 13m + 40?

Back

(m - 5)(m - 8) is the factored form.

Front

How do you factor n² - 12n + 35?

Back

(n - 7)(n - 5) is the factored form.

Front

How do you factor x² - 16x + 48?

Back

(x - 12)(x - 4) is the factored form.

Front

How do you factor r² + 19r + 90?

Back

(r + 9)(r + 10) is the factored form.

Front

What is a binomial?

Back

A binomial is a polynomial that consists of two terms.