Polynomial Factoring and Solutions HW

Factor out the GCF:
9x⁴y - 24x²

• 9x²y(x² - 3)
• 3x³(3xy - 8)
• 3x²(3x²y - 8)
• x²(9x²y - 24)

Factor the trinomial:
x² - 4x - 12 

• (x - 6)(x - 2)
• (x - 8)(x + 2)
• (x - 6)(x + 2)
• (x + 6)(x - 2)

Factor the trinomial:
x² - 6x + 9 

• (x + 3)²
• (x + 3)(x - 3)
• (x - 9)(x - 3)
• (x - 3)²

Factor the binomial:
9x² - 25

• (3x - 5)(3x + 5)
• (3x - 5)(3x - 5)
• (3x + 5)(3x + 5)
• (9x + 5)(x - 5)

Factor the trinomial:
7x² + 4x - 3 

• (7x - 1)(x + 3)
• (7x + 1)(x - 3)
• (7x + 3)(x - 1)
• (7x - 3)(x + 1)

Factor the binomial:
x² - 144

• (x + 12)(x + 12)
• (x - 12)(x - 12)
• (x + 12)(x - 12)
• (x - 16)(x + 9)

Factor Completely: 4k²+24k+36

• (2k+6)²
• (2k-6)²
• (2k-6)(2k+6)
• 4(k+3)²

Find the zeros of this quadratic.

• b=4/5, b=3
• b=4, b=-3
• b=1/5, b=3
• b=4/5, b=-3

(x-2)(3x+1) what are the solutions to this equation?

• x=2 and -1

• x= -2 and 1

• x= 2 and -3

• x=2 and -1/3

Which of these equations has zeros at 4 and -3?

• f(x) = x² + x - 12

• f(x) = x² - x + 12

• f(x) = x² - x - 12

• f(x) = x² + x + 12