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.

Front

How do you check if your factors are correct?

Back

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