Algebra Topic 7 Test (1/2)

Which of the following expressions are fourth-degree trinomials? Select all that apply.

Write -8x^{2}-2+5x^{4}-x+2x^{3} in standard form.

Simplify: (4x^{2}+10x^{3}-8)-(3x^{3}-x+9).

Simplify: (-3x^{2}-8)-(x^{2}+4x-7). Write your answer in standard form.

Find the product: 12g(-2g^{5}-3g^{4}+7)

Find the product: (3x^{2}+4)(x^{3}-3x+6). Write your answer in standard form.

A portrait without its frame has a height 2 times its width w, in centimeters. It's frame extends 10 cm past the edge of the portrait on each of its four sides. What is a polynomial expression, in terms of w, for the total area of the portrait and frame together? Simplify your expression and write it in standard form.

Find the product: (2a+5b)^{2}

Factor the polynomial. If it is prime (already maximally factored), then say so.

(16y^{4}-36)

A square picture has a 3-inch frame around it. If the area of the frame is 216 \textrm{ in}^{2}, what is the area of the picture?

What is the greatest common factor of the terms of the polynomial 44t^{3}+8t^{2}-20t