Algebra II quiz #7

Factor Completely: x⁴-9x²

• x²(x+3)(x-3)
• (x²+3x)(x²-3x)
• (x²+9)(x-3)(x+3)
• x²(x²-9)

Factor Completely: 3x²+15x-72

• x(x+5)
• 3(x+8)(x-3)
• (3x+24)(x-3)
• 3(x-8)(x+3)

What method should you use to factor the polynomial?

x² - 36

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Master Products

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

• 3
• 4
• 5
• 0

Find all the solutions of x³ - x² - x + 1 if you know that (x-1) is a factor of it.

• -1, -1, 1

• -1, 1, 1

• -1, 0 1

• -1, 1, 2

f(x)=(x+4)(x-3)(x-2)

List the zeros for this function.

• x= -4, x=3, x= -2

• x= -4, x=3, x=2

• x= 4, x=3, x=2

• x=4, x= -3, x= -2

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

What is another way to say "where a function crosses the x-axis"?

• x-intercept
• zero
• root
• all of these.

Find the indicated nth root(s) of a.

n =3, a = -125

• 5

• -5

• 41.6666

n = 6, a = 64

• 2

• -2

• 10