Factoring Techniques and Examples

What is the degree of a quartic trinomial?

• 2

• 3

• 4

• 5

In the substitution method for quartic trinomials, what does 'U' typically represent?

• x to the power of four

• x squared

• x cubed

• The constant term

Which pair of numbers multiplies to -35 and adds up to 2?

• 7 and -5

• 6 and -6

• 5 and -7

• 8 and -4

What is the result of factoring the expression x^4 - 7x^2 - 18 using substitution?

• (x^2 + 9)(x^2 - 2)

• (x^2 - 9)(x^2 + 2)

• (x^2 - 9)(x^2 - 2)

• (x^2 + 9)(x^2 + 2)

What trigonometric function is substituted with 'U' to simplify the expression U^2 - 36?

• Secant

• Sine

• Cosine

• Tangent

Which of the following is a difference of squares?

• U^2 - 36

• U^2 + 36

• U^2 + 6U + 9

• U^2 - 6U + 9

What does the expression 'f(x) - 8 * f(x) + 3' simplify to using substitution?

• f(x)^2 - 8f(x) + 3

• f(x)^2 + 5f(x) + 24

• f(x)^2 - 5f(x) - 24

• f(x)^2 - 5f(x) + 24

What common factor is shared by the terms 2 secant(x) tangent(x) and secant(x)?

• Tangent(x)

• Secant(x)

• Cosecant(x)

• Cotangent(x)

How do you determine the contents of the parentheses after factoring out the GCF?

• Subtract the GCF from the original terms

• Add the GCF to the original terms

• Multiply the original terms by the GCF

• Divide the original terms by the GCF

What is the result of factoring the expression involving f(x) and g(x) with a common factor of f(x)?

• f(x)(g(x) + 8)

• f(x)(g(x) - 8)

• f(x)(g(x) - 7)

• f(x)(g(x) + 7)