Question

now find:
find the sum.
$(3x^4 - 2x^3 + x - 5) + (x^3 - x^2 + 3)$

Explanation:

Step1: Remove parentheses

To add the two polynomials, we first remove the parentheses. So we have \(3x^{4}-2x^{3}+x - 5+x^{3}-x^{2}+3\).

Step2: Combine like terms

• For the \(x^{4}\) term: There is only \(3x^{4}\), so it remains \(3x^{4}\).
• For the \(x^{3}\) terms: \(-2x^{3}+x^{3}=(-2 + 1)x^{3}=-x^{3}\).
• For the \(x^{2}\) term: There is only \(-x^{2}\), so it remains \(-x^{2}\).
• For the \(x\) term: There is only \(x\), so it remains \(x\).
• For the constant terms: \(-5 + 3=-2\).

Putting it all together, we get \(3x^{4}-x^{3}-x^{2}+x - 2\).

Answer:

\(3x^{4}-x^{3}-x^{2}+x - 2\)