Polynomials Unit Exam Study Guide

Polynomials Unit Exam Study Guide

Multiple Select

Which of the following expression(s) are third-degree

binomials? Select all that apply.

• 2y-xy³+7

• 3x²y+5xy

• 3y³+3x³y⁴

• 3xy-3xy²

Open Ended

Write 3x³ - 5x + 7x⁴ - 9 - x² in standard form.

Open Ended

Simplify :

(3x³+7x-1)+(4x³-9x²-11x+1)

Write your answer in standard form.

Open Ended

Simplify :

(-5x+7)-(x²-3x+2)

Write your answer in standard form.

Open Ended

Find the product.

-7y²(-2y⁴+y²-1)

Open Ended

Find the product.

(4x²+6)(x²-3x+8)

Open Ended

A portrait without its frame has a height 1.5 times its width w, in inches. Its frame is 4 in. wide all along its perimeter. What is an expression for the area of the framed portrait in terms of w?

Simplify your expression and write it in standard form

Open Ended

Find the product.

(2y-6)²

Open Ended

Find the product.

(3x-2)(3x+2)

Open Ended

What is the greatest common factor of the terms of the polynomial −25y³+15y²- 5y?

Open Ended

Factor out the greatest common factor from the terms of the polynomial 6x³-12x²+18x .

Open Ended

What pair of factors of -45 has a sum of 4?

Open Ended

What’s the factored form of x²-3x-10 ?

Open Ended

What’s the factored form of x²-2xy-24y² ?

Open Ended

Factor 12y²-6y-90 .

Open Ended

Factor the perfect square trinomial x²-18x+81 .

Open Ended

Factor the perfect square trinomial y²-14y+49 .

Open Ended

Factor the expression 36y²-1 .