Polynomials

Factor Completely: x⁴-9x²

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

Factor Completely: 2k²-14k-60

• 2(k-10)(k-3)
• Not Factorable
• (k-5)(k+9)
• 2(k-10)(k+3)

Factor Completely: 16q³-48q²+36q

• 4q(2q-3)²
• 4q(2q+3)²
• 4(4q³-12q²+9q)
• 4q(2q-3)(2q+3)

Factor Completely:

2n³ + 7n² - 2n - 7

• cannot be factored

• (n - 1)²(2n + 7)

• (n² - 1)(2n + 7)

• (n + 1)(n - 1)(2n + 7)

Factor completely:
2x³ + 5x² - 8x - 20

• (x² - 4)(2x + 5)
• (2x - 5)(x² + 4)
• (2x² - 4)(x + 5)
• (x - 2)(x + 2)(2x + 5)

Find all zeros for the polynomial
P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

FInd all zeros for the polynomial
f(x) = x⁴+8x²-9

• -1, ⅓, ±3i
• ½, -1, ±3i
• 1, -1, ±i√11
• 1, -1, ±3i

Let f(x) = 3x² - 9x +2.
Is k = -3 a zero of the function?

• yes
• no

Let f(x) = 4x² -33x -27.  Is k = 9 a zero of the function?

• yes
• no

Find the zeros to the following polynomial. $f\left(x\right)\ =\ x^{3^{ }}-3x^2\ -\ 10x\ +\ 24\ \ ;\ \left(x\ -\ 2\right)$  

• { 2, -3, -4}

• {2, 3, -4}

• {2, -3, 4}

• {2, 3, 4}