Introduction to Polynomials

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Write the following polynomial in standard form and state its degree: 3x minus 2 x to the fifth + 4
Write the following polynomial in standard form and state its degree: negative 5 + 3x minus 2x squared minus x to the ninth + 3x cubed
Add the polynomials: left paren 10x squared + 3x minus 2 right paren + left paren 6x squared minus 9x + 3 right paren
Add the polynomials: left paren 12x cubed minus 3x squared + 1 right paren + left paren 2x cubed + 3x squared + 4x minus 2 right paren
Subtract the polynomials: left paren 4x squared + 2x minus 1 right paren minus left paren x squared + 2x + 1 right paren
Subtract the polynomials: left paren x minus 5 right paren minus left paren 3x + 5 right paren
Subtract the polynomials: left paren x minus 5 right paren minus left paren 3x minus 5 right paren
Simplify the expression: left paren 3x squared + 2x minus 1 right paren minus left paren 5x squared + x + 2 right paren + left paren 2x squared minus x + 3 right paren