Solving Polynomials

Factor using Factoring by Grouping:

2n⁴ + 7n³ - 4n - 14

• (n - 2)(n - 2)(n - 2)(2n + 7)

• (n - 2)³(2n + 7)

• (n³ - 2)(2n + 7)

• (n + 1)(n - 1)(2n + 7)

Factor Completely:

4w⁴ + 16w² + 15

• (w² + 10)(w² + 6)

• (2w²+ 5)(2w² + 3)

• (w² + 15)(4w² + 1)

• (2w + 5)(2w + 3)

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

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

Factor x² + 7x + 12

• (x + 2)(x + 10)
• (x + 3)(x + 4)
• (x + 4)(x + 5)
• (x + 4)(x + 6)

Factor: x² – 5x – 24

• (x - 5)(x + 19)
• (x - 8)(x + 3)
• (x - 3)(x + 8)
• (x - 19)(x + 5)

What are the remaining factors for

(x³ +x² -17x +15) if (x -1) is a factor?

• (x-1) (x+5) (x-3)

• (x-1) (x+5) (x + 3)

• (x+1) (x+5) (x-3)

• (x+1) (x-5) (x-3)

Is (x-1) a factor of f(x)= x³-8x²+14x-4?

• Yes, (x-1) is a factor. There is a remainder.

• No, (x-1) is not a factor. The remainder is zero.

• Yes, (x-1) is a factor. The remainder is zero.

• No, (x-1) is not a factor. There is a remainder.

Decide if (x+3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor!

• No, it is not a factor!