Question
Score: 0 of 1 point Add the given two polynomials: \( \left(-4 x^{4}-10 x^{3}+8 x\right)+\left(-7 x^{4}+4 x^{3}-2\right)= \) Enter your answer
Ask by Davison Savage. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The sum of the two polynomials is \( -11x^{4}-6x^{3}+8x-2 \).
Solution
Calculate or simplify the expression \( (-4x^4-10x^3+8x)+(-7x^4+4x^3-2) \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(-4x^{4}-10x^{3}+8x\right)+\left(-7x^{4}+4x^{3}-2\right)\)
- step1: Remove the parentheses:
\(-4x^{4}-10x^{3}+8x-7x^{4}+4x^{3}-2\)
- step2: Subtract the terms:
\(-11x^{4}-6x^{3}+8x-2\)
The sum of the given two polynomials is \( -11x^{4}-6x^{3}+8x-2 \).
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Simplify this solution Mind Expander
To add the given polynomials, combine the like terms: \[ (-4 x^{4} - 10 x^{3} + 8 x) + (-7 x^{4} + 4 x^{3} - 2) \] Combine the \(x^4\) terms: \(-4x^4 - 7x^4 = -11x^4\) Combine the \(x^3\) terms: \(-10x^3 + 4x^3 = -6x^3\) Combine the \(x\) terms: \(8x\) (no like term to combine with) Combine the constant terms: \(-2\) (no like term to combine with) Putting it all together, the result is: \( -11x^{4} - 6x^{3} + 8x - 2 \)
