GCF and Factoring Trinomials

Front

What is the GCF?

Back

The GCF (Greatest Common Factor) is the largest factor that divides two or more numbers.

Front

Find the GCF of 16x^5 + 12x^4 - x^3.

Back

x^3

Front

Find the GCF of 26xy + 10x^2y^2.

Back

2xy

Front

Find the GCF of 35f + 40f.

Back

5f

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.

Front

Factor the expression: x^2 + 7x - 30.

Back

(x + 10)(x - 3)

Front

Factor the expression: x^2 - 15x + 36.

Back

(x - 12)(x - 3)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

How do you factor a trinomial of the form x^2 + bx + c?

Back

Look for two numbers that multiply to c and add to b.