Factoring 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 polynomial is factored completely?

Back

A polynomial is factored completely when it is expressed as a product of irreducible polynomials over the given number system.

Front

Factor the expression: 3x² + 2x - 5

Back

(3x + 5)(x - 1)

Front

Factor the expression: 4n² - 17n - 15

Back

(n - 5)(4n + 3)

Front

Factor the expression: 4h² - 17h + 4

Back

(h - 4)(4h - 1)

Front

Factor the expression completely: 5x² - 7x + 2

Back

(5x - 2)(x - 1)

Front

Factor the expression: 4x² - 27x - 7

Back

(4x + 1)(x - 7)

Front

What is the first step in factoring a quadratic expression?

Back

The first step is to identify the coefficients of the quadratic expression in the form ax² + bx + c.

Front

What is the significance of the leading coefficient in factoring?

Back

The leading coefficient (a) affects the methods used for factoring, especially when a > 1.

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.