Unit Test — Unit test Answers

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 will result in a difference of squares?

The table represents the multiplication of two binomials.

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

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

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

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.

Simplify the expression –2(p + 4)2 – 3 + 5p. What is the simplified expression in standard form?

Which algebraic expression is a polynomial with a degree of 2?

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

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

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

The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24?

The diagram represents a difference of squares.

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

Which binomial is a factor of 9x2 – 64?

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

The polynomial 2x3 − 5x2 + 4x − 10 is split into two groups, 2x3 + 4x and −5x2 − 10. The GCFs of each group is then factored out. What is the common binomial factor between the two groups after their GCFs have been factored out?