Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The sum of the two polynomials is \( -11x^{4}-6x^{3}+8x-2 \).
Solución
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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Como
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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: \( -11x^{4} - 6x^{3} + 8x - 2 \)

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