Operations With Polynomials and Factoring

(4x + 3)(x + 2)

• x² + 11x + 6

• 4x² + 8x + 6

• 4x² + 3x + 6

• 4x² + 11x + 6

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1

• -2x² - 11x -4

• 2x² + 5x -7

• -2x² + 11x -4

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x_² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

(x - 3)(x +10)

• x^2 - 7x + 13

• x^2 - 6x - 30

• x^2 + 7x - 30

• x^2 + 13x + 30

Factor Completely: 4x² + 18x - 10

• (4x - 2)(x + 5)

• (2x + 10)(2x - 1)

• (2x - 5)(2x + 2)

• 2(2x - 1)(x + 5)

A rectangular garden has an area of 4x² - 64 square centimeters. What are the dimensions of the garden?

• (2x + 8) by (2x - 8)

• (2x + 8) by (2x + 8)

• (2x - 8) by (2x - 8)

• Prime

Factor  4v² − 4v − 8 

• 4(v + 1)(v − 2) 

• (v− 10)(v − 5) 

• 4(v-1)(v-2)

• None of the Above

Factor Completely: x⁴-9x²

• x²(x+3)(x-3)

• (x²+3x)(x²-3x)

• (x²+9)(x-3)(x+3)

• x²(x²-9)

Answer explanation

To factor the polynomial x^2 - 5x + 6, we need to find two numbers that multiply to 6 and add up to -5. These numbers are -2 and -3, so the factored form is (x - 2)(x - 3).