Factoring (with leading coefficient)

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 the leading coefficient in a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

Factor the expression: 6x² - 11x - 10

Back

(2x - 5)(3x + 2)

Front

Factor the expression: 7x² - 16x + 4

Back

(x - 2)(7x - 2)

Front

Factor the expression: 5x² + 17x + 6

Back

(5x + 2)(x + 3)

Front

Factor the expression: 6x² - 19x - 7

Back

(2x - 7)(3x + 1)

Front

Factor the expression: 6x² - x - 1

Back

(3x + 1)(2x - 1)

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 is the zero-product property?

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

How do you check if your factors are correct?

Back

Multiply the factors together to see if you get the original expression.