Factoring Quadratics a=1

Front

What is the GCF of 22x^3 + 11x^2?

Back

11x^2

Front

Factor the quadratic: x^2 - 14x + 24

Back

(x - 12)(x - 2)

Front

Factor the expression: 24c^5 - 12c^3

Back

12c^3(2c^2 - 1)

Front

Factor the polynomial: 5x^3 - 7x^2

Back

x^2(5x - 7)

Front

Factor the quadratic: x^2 - 10x + 24

Back

(x - 6)(x - 4)

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 ax^2 + bx + c.

Front

What does it mean to factor a quadratic expression?

Back

To factor a quadratic expression means to express it as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0.

Front

What is the relationship between the roots and factors of a quadratic?

Back

The roots of a quadratic equation correspond to the values of x that make the equation equal to zero, and they can be found by factoring the quadratic.