Factoring when a > 1

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 does it mean when a > 1 in factoring?

Back

It means that the leading coefficient of the quadratic expression is greater than 1, which affects how we factor the expression.

Front

Factor the expression: 2n² + 13n + 15

Back

(2n + 3)(n + 5)

Front

Factor the expression: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

Factor the expression: 4h² - 17h + 4

Back

(h - 4)(4h - 1)

Front

Factor the expression: 5x² - 13x + 6

Back

(5x - 3)(x - 2)

Front

Factor the expression: 9x² - 6x - 8

Back

(3x + 2)(3x - 4)

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 purpose of factoring a quadratic expression?

Back

Factoring helps to simplify expressions, solve equations, and find the roots of the quadratic.

Front

What is the 'ac method' in factoring?

Back

The 'ac method' involves multiplying the leading coefficient (a) by the constant term (c) to find two numbers that multiply to ac and add to b.