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)

What is the cube root of 8x27?

Which algebraic expression is a polynomial with a degree of 4?

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

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.

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

The partial factorization of x2 – x – 12 is modeled with algebra tiles.

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

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

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

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

Tyrone factored the polynomial completely. What is the value of B?12x4+30x3+4x2+10xAx(Bx2+1)(2x+5)

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

A square with an area of A2 is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?

Which will result in a difference of squares?

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

What is the greatest common factor of the terms in the polynomial 12x4 + 27x3 + 6x2?

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

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

The diagram represents a difference of squares.