Algebra - Polynomials (Practice Problems)

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Section 1.4 : Polynomials

For problems 1 – 10 perform the indicated operation and identify the degree of the result.

Add $4{x^3} - 2{x^2} + 1$ to $7{x^2} + 12x$ Solution
Subtract $4{z^6} - 3{z^2} + 2z$ from $- 10{z^6} + 7{z^2} - 8$ Solution
Subtract $- 3{x^2} + 7x + 8$ from ${x^4} + 7{x^3} - 12x - 1$ Solution
$12y\left( {3{y^4} - 7{y^2} + 1} \right)$ Solution
$\left( {3x + 1} \right)\left( {2 - 9{x^2}} \right)$ Solution
$\left( {{w^2} + 2} \right)\left( {3{w^2} + w} \right)$ Solution
$\left( {4{x^6} - 3x} \right)\left( {4{x^6} + 3x} \right)$ Solution
$3{\left( {10 - 4{y^3}} \right)^2}$ Solution
$\left( {{x^2} + x - 2} \right)\left( {3{x^2} - 8x - 7} \right)$ Solution
Subtract $3{\left( {{x^2} + 1} \right)^2}$ from $6{x^3} - 9{x^2} - 13x - 4$ Solution