Alg - Unit 8 Test Polynomial Factoring

7r³ - 8r² + 42r - 48

• (r²+6)(7r+8)

• (r²+6)(7r-8)

• (r²+6)(r²+8)

• (r²+6)(7r+6)

Which is the first step in factor by grouping:

x³ + 7x² - 2x - 14

• x (x²-2) 7(x-7)

• 7 (x²+2) x(x-7)

• -2(x²+2) 7(x+7)

• -2(x + 7) x²(x+7)

• none of these make sense

Factor

3a² + a + 3a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

What is one factor of the Trinomial: x² - 8x + 15

What is one factor: x² – 5x – 24

Factor: x² + 2x – 3

• (x - 2)(x + 1)
• (x + 1)(x - 3)
• (x + 2)(x - 1)
• (x - 1)(x + 3)

Factor completely.
5x²-15x+10

• (5x - 2)(x - 5)
• 5(x - 2)(x + 1)
• (5x + 2)(x + 5)
• 5(x - 2)(x - 1)
• none of these are correct

Factor Completely: 15t² - 27t - 6

• 3(5t +1)(t - 3)

• (3t + 6)(5t - 1)

• 3(5t - 1)(t + 2)

• (15t + 6)(1t - 6)

• none of these are correct

Answer explanation

The correct answer is

3(5t +1)(t - 2)

Factor: x² + 24x + 144

• (x + 12)²
• (x + 9)²
• (x + 15)²
• (x + 13)²
• none of these are correct

Factor

x² + 18x + 81

• (x + 9)(x – 9)

• (x + 18)(x + 18)

• (x + 9)

• (x + 6)(x + 6)

• none of these are correct

Answer explanation

The correct answer is :

(x + 9)²