Factoring Polynomials: Difference of Squares — Unit test Answers

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

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

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

Which monomials are perfect squares? Select three options.6x29x817x925x1236x16

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

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

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

How could Brent use a rectangle to model the factors of x2 – 7x + 6?

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

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x2 – x + 200. The number of toy cars sold is represented by x.

Which terms could have a greatest common factor of 5m2n2? Select two options.m5n55m4n310m4n15m2n224m3n4

Which binomial is a factor of 9x2 – 64?

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?

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

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

Which will result in a difference of squares?

The table represents the multiplication of two binomials.

Which expression is equivalent to 6x2 – 19x – 55?

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 sum of the polynomials?(7x3 – 4x2) + (2x3 – 4x2)