Burns Romero
08/12/2023 · Middle School
Divide the following polynomial by \( -6 a \). \( 18 a^{6}+12 a^{3} \)
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Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( (18a^6+12a^3)/(-6a) \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{\left(18a^{6}+12a^{3}\right)}{\left(-6a\right)}\)
- step1: Remove the parentheses:
\(\frac{18a^{6}+12a^{3}}{-6a}\)
- step2: Rewrite the expression:
\(-\frac{18a^{6}+12a^{3}}{6a}\)
- step3: Factor the expression:
\(-\frac{6a\left(3a^{5}+2a^{2}\right)}{6a}\)
- step4: Reduce the fraction:
\(-\left(3a^{5}+2a^{2}\right)\)
- step5: Calculate:
\(-3a^{5}-2a^{2}\)
The result of dividing the polynomial \(18a^{6}+12a^{3}\) by \(-6a\) is \(-3a^{5}-2a^{2}\).
Quick Answer
The result is \(-3a^{5}-2a^{2}\).
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