Factoring quadratics

Front

What is the GCF of 15n^3 + 25n^2?

Back

5n^2

Front

Factor the quadratic expression: x^2 - 8x - 48.

Back

(x - 12)(x + 4)

Front

Factor the expression: 5x^2 + 20.

Back

5(x^2 + 4)

Front

Factor the expression: 5x^3 - 7x^2.

Back

x^2(5x - 7)

Front

Factor the difference of squares: 49x^2 - 100.

Back

(7x - 10)(7x + 10)

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

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax^2 + bx + c.

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides all terms in an expression.

Front

What is the difference between factoring and expanding?

Back

Factoring is breaking down an expression into its factors, while expanding is multiplying out the factors to get the original expression.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0.