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