Factoring quadratics when a is greater than 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 and a ≠ 0.

Front

What does it mean when 'a' is greater than 1 in a quadratic expression?

Back

It means that the coefficient of the x² term is greater than 1, which affects the factoring process and the shape of the parabola represented by the quadratic.

Front

What is the general form of a quadratic equation?

Back

The general form of a quadratic equation is ax² + bx + c = 0.

Front

What is the first step in factoring a quadratic expression?

Back

The first step is to identify the coefficients a, b, and c in the expression ax² + bx + c.

Front

How do you find two numbers that multiply to ac and add to b?

Back

To factor a quadratic expression, find two numbers that multiply to the product of a and c (ac) and add to b.

Front

Factor the expression: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

Factor the expression: 5x² - 13x + 6

Back

(5x - 3)(x - 2)

Front

Factor the expression: 4h² - 17h + 4

Back

(h - 4)(4h - 1)

Front

Factor the expression: 2m² + 3m - 9

Back

(m + 3)(2m - 3)