Factoring Trinomials

The base of a triangle is 2x+8. The area of the triangle is x²+x-12.

Find half of the base of the triangle.

• 2x+8

• x+4

• 2x+4

• x+8

The base of a triangle is 2x+8. The area of the triangle is x²+x-12.

What is the height of the triangle.

• x+4

• x-3

• 2x+8

The are of a square-shaped garden is 25y²+60y+36 ft². The length of each side of the garden is in the form cy+d, where c and d are positive integers. Write an expression in the form cy+d that describes the length, in feet, of one side of the garden.

• 5y+6

• 6y+5

• y+25

• 25y+36

Which expression represents x²-8x+7 in factored form?

• (x-7)(x-1)

• (x+7)(x-1)

• (x+7)(x+1)

• (x-3)(x-4)

Which of the following expressions is equivalent to 4x²+6x-10?

• (2x+5)(x-1)

• 2(2x+5)(x-1)

• 2(2x-5)(x+1)

• 2(x-5)(x+1)

Which expression represents 5x²+11x+2 in factored form?

• (x+1)(5x+2)

• 5(x+2)(x+1)

• (x+2)(5x-1)

• (x-2)(5x-1)

Which expression represents 18x²-48x+32 in factored form?

• (3x-4)²

• 2(3x-4)²

• (3x-8)(3x-4)

• 2(3x-8)(3x-4)

The length of a rectangular table top is x-5 and its area is x²-11x+30. Which expression could be used to find the width of the table top?

• x-15

• x-6

• x+6

• x-3

A ball is thrown straight up into the air. The height of the ball over time is described by the expression -16t²+80t+96.

Which is the expression in factored form?

• 16(t+2)(t+3)

• 16(t-6)(t+1)

• -16(t+2)(t+3)

• -16(t-6)(t+1)

Which of the following expressions is equivalent to -10a²-26a+12?

• 2(a+3)(5a-2)

• 2(5a+3)(a-2)

• -2(a+3)(5a-2)

• -2(5a+3)(a-2)