Factoring a > 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 does it mean when a polynomial is factorable?

Back

A polynomial is factorable if it can be expressed as a product of two or more polynomials of lower degree.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the significance of the leading coefficient in factoring?

Back

The leading coefficient (the coefficient of the highest degree term) affects the shape and direction of the parabola represented by the quadratic equation.

Front

How do you factor a quadratic expression when a > 1?

Back

To factor a quadratic expression where a > 1, look for two numbers that multiply to ac (product of a and c) and add to b.

Front

Factor the expression: 3v² - 4v - 7

Back

(3v - 7)(v + 1)

Front

Factor the expression: 2x² + 9x + 4

Back

(2x + 1)(x + 4)

Front

Factor the expression: 2x² - 3x - 2

Back

(2x + 1)(x - 2)

Front

Factor the expression: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

Factor the expression: 4h² - 17h + 4

Back

(h - 4)(4h - 1)