Factoring Trinomials: a > 1 — Unit test Answers

The revenue, in dollars, of a company that produces jeans can be modeled by 2x2+17x−175. The cost, in dollars, of producing the jeans can be modeled by 2x2−3x−125. The number of pairs of jeans that have been sold is represented by x. If the profit is the difference between the revenue and the cost, which expression can be used to find profit and what is that profit when 75 pairs of jeans are sold?

Factor –7x3 + 21x2 + 3x – 9 by grouping. What is the resulting expression?

Leonora is factoring a trinomial. The factors of the trinomial are shown on the model.

Which is the completely factored form of 4x2 + 28x + 49?

Adi used algebra tiles to represent the product .

Which are factors of x2 – 4x – 5? Select two options.(x – 5)(x – 4)(x – 2)(x + 1)(x + 5)

The model represents a polynomial of the form ax2 + bx + c.

Which term completes the product so that it is the difference of squares?(−5x−3)(−5x+________)

What is the factored form of the polynomial?x2 – 16x + 48

Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. Which expression can be used to find the perimeter of the rectangle and what is the perimeter if x = 4?

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

Which model represents the factors of x2 + 9x + 8?

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

What is the greatest common factor of 8x and 40y?

What is the product of (2p + 7)(3p2 + 4p – 3)?

The formula for the area of a parallelogram is A = bh, where b is the base and h is the height.

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

Which is a factor of x2 + 8x – 48?

The expression 40x2 – 65x + 50 represents the sum of the interior angles of a regular pentagon in degrees. If the interior angles of the pentagon are equal, which expression represents the measure of two angles?

What is the difference of the polynomials?(8r6s3 – 9r5s4 + 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4)