Perform the indicated operation. \[ \left(-4 x^{3}+7 x^{2}-8 x+10\right)+\left(7 x^{3}+10 x^{2}-5 x-2\right) \] Write the polynomial in standard form. \( \left(-4 x^{3}+7 x^{2}-8 x+10\right)+\left(7 x^{3}+10 x^{2}-5 x-2\right)=3 x^{3}+17 x^{2}-13 x+8 \) What is the degree of the polynomial? \( \square \) (Type a whole number.)

Calculate or simplify the expression \( (-4x^3+7x^2-8x+10)+(7x^3+10x^2-5x-2) \). Simplify the expression by following steps: - step0: Solution: \(\left(-4x^{3}+7x^{2}-8x+10\right)+\left(7x^{3}+10x^{2}-5x-2\right)\) - step1: Remove the parentheses: \(-4x^{3}+7x^{2}-8x+10+7x^{3}+10x^{2}-5x-2\) - step2: Add the terms: \(3x^{3}+17x^{2}-13x+8\) The result of the indicated operation is \(3x^{3}+17x^{2}-13x+8\). The degree of the polynomial is the highest power of the variable \(x\). In this case, the highest power of \(x\) is 3, so the degree of the polynomial is 3.