Factoring Quadratics

Front

What is factoring in mathematics?

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, where a, b, and c are constants.

Front

What does it mean to factor a quadratic expression?

Back

To factor a quadratic expression means to express 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 roots and factors of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero, and they correspond to the factors of the quadratic expression.

Front

How do you find the factors of a quadratic expression?

Back

To find the factors, look for two numbers that multiply to 'c' and add to 'b' in the expression ax² + bx + c.

Front

Factor the expression: x² + 11x + 24

Back

(x + 8)(x + 3)

Front

Factor the expression: x² - 10x + 24

Back

(x - 6)(x - 4)

Front

Factor the expression: x² + 7x + 12

Back

(x + 3)(x + 4)

Front

Factor the expression: d² - 10d + 25

Back

(d - 5)(d - 5) or (d - 5)²