Factoring Quadratics

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c.

Front

What are the factors of x² - 8x - 48?

Back

(x - 12)(x + 4)

Front

What is the factored form of 5x² + 20x + 20?

Back

5(x + 2)(x + 2)

Front

What is the factored form of x² + 16x + 15?

Back

(x + 1)(x + 15)

Front

What is the factored form of x² - 10x + 24?

Back

(x - 4)(x - 6)

Front

What are the factors of 100x² - 64?

Back

(10x - 8)(10x + 8)

Front

What is the zero-product property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Front

How do you find the roots of a quadratic equation?

Back

Set the equation to zero and factor it, then use the zero-product property to find the roots.

Front

What is the significance of the coefficients in a quadratic expression?

Back

The coefficients a, b, and c determine the shape and position of the parabola represented by the quadratic expression.