Factoring Trinomials

Front

What is a perfect square trinomial?

Back

A trinomial of the form a^2 + 2ab + b^2, which can be factored as (a + b)^2.

Front

How do you identify a perfect square trinomial?

Back

Check if the first and last terms are perfect squares and if the middle term is twice the product of the square roots of the first and last terms.

Front

Factor the trinomial: x^2 + 16x + 64

Back

(x + 8)(x + 8) or (x + 8)^2.

Front

What is a prime polynomial?

Back

A polynomial that cannot be factored into the product of two non-constant polynomials.

Front

Factor the trinomial: x^2 + 81

Back

Prime.

Front

Which of the following is NOT a perfect square trinomial? x^2 - 10x + 20, x^2 - 16x + 64, x^2 - 28x + 196, x^2 - 24x + 144

Back

x^2 - 10x + 20.

Front

Is x^2 + 18x + 9 a perfect square trinomial?

Back

No.

Front

What is the GCF of 3x^2 + 18x + 15?

Back

3.

Front

Factor completely: 3x^2 + 18x + 15

Back

3(x + 5)(x + 1).

Front

What is the standard form of a quadratic equation?

Back

ax^2 + bx + c, where a, b, and c are constants.