Introduction to Polynomials — Unit test Answers

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

Which statement is true about the polynomial 3x2y2 − 5xy2 − 3x2y2 + 2x2 after it has been fully simplified?

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

Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y.

Which will result in a difference of squares?

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

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

Which is a factor of x2 + 8x – 48?

Adi used algebra tiles to represent the product .

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

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

The diagram represents a difference of squares.

Which are factors of x2 – 4x – 5? Select two options.

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

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 binomial is a factor of 9x2 – 64?

Which is true about the polynomial –3xy2 + 5x2y?

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

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

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