Factoring Quadratic Expressions

This tutorial is part two of a series on factoring polynomials, focusing on factoring quadratic trinomials into binomials. It begins with a recap of multiplying binomials, then guides through factoring simple quadratics, including those with negative constants and two variables. Advanced techniques are introduced, and the tutorial concludes with a preview of the next lesson on more complex quadratics.

What is the reverse process of factoring quadratics?

• Adding binomials

• Multiplying binomials

• Dividing binomials

• Subtracting binomials

When factoring x^2 + 7x + 12, which pair of numbers should be used?

• 6 and 2

• 5 and 2

• 4 and 3

• 12 and 1

What is the correct factorization of x^2 + 7x + 12?

• (x + 3)(x + 3)

• (x + 4)(x + 3)

• (x + 5)(x + 2)

• (x + 6)(x + 2)

Which pair of factors adds up to -2 when factoring x^2 - 2x - 8?

• -3 and 1

• -4 and 2

• 4 and -2

• 3 and -1

What is the first step in factoring 2x^2 - 2x - 12?

• Use the quadratic formula

• Use the ACB method

• Find the GCF

• List all factors

What is the GCF of the terms in 2x^2 - 2x - 12?

• 4

• 1

• 2

• 3

Which pair of factors combines to -1 in the expression x^2 - x - 6?

• 3 and -2

• 2 and -3

• -3 and 2

• -2 and 3

In the expression x^2 + 4xy - 21y^2, what are the factors of -21 that add up to 4?

• -3 and 7

• 3 and -7

• 7 and -3

• -7 and 3

What is the factorization of x^2 + 4xy - 21y^2?

• (x + 7y)(x - 3y)

• (x - 7y)(x + 3y)

• (x + 3y)(x - 7y)

• (x - 3y)(x + 7y)

What will be covered in the next Math Hacks tutorial?

• Factoring linear equations

• Solving quadratic equations

• Graphing quadratic functions

• Factoring quadratics with a coefficient greater than 1