Factoring Quadratics where a = 1

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or 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 ax² + bx + c, where a, b, and c are constants.

Front

What does it mean when a = 1 in a quadratic expression?

Back

When a = 1, the quadratic expression simplifies to the form x² + bx + c, making it easier to factor.

Front

How do you factor x² - 12x - 13?

Back

The factors are (x + 1)(x - 13).

Front

How do you factor x² + 8x - 20?

Back

The factors are (x + 10)(x - 2).

Front

How do you factor x² + 5x - 24?

Back

The factors are (x + 8)(x - 3).

Front

How do you factor x² - 14x + 24?

Back

The factors are (x - 12)(x - 2).

Front

How do you factor x² - x - 90?

Back

The factors are (x + 9)(x - 10).

Front

What is the zero product property?

Back

The zero product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

What is the significance of the constant term in factoring quadratics?

Back

The constant term (c) helps determine the pairs of numbers that multiply to c and add to b in the expression ax² + bx + c.