QuestionAugust 24, 2025

5) (30p^4+6p^3+24p^2)div 6p^2

5) (30p^4+6p^3+24p^2)div 6p^2
5) (30p^4+6p^3+24p^2)div 6p^2

Solution
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Answer

5p^2 + p + 4 Explanation 1. Factor the Numerator The numerator 30p^4 + 6p^3 + 24p^2 can be factored as 6p^2(5p^2 + p + 4). 2. Simplify the Expression Divide the entire expression by 6p^2: \frac{6p^2(5p^2 + p + 4)}{6p^2} = 5p^2 + p + 4.

Explanation

1. Factor the Numerator<br /> The numerator $30p^4 + 6p^3 + 24p^2$ can be factored as $6p^2(5p^2 + p + 4)$.<br /><br />2. Simplify the Expression<br /> Divide the entire expression by $6p^2$: $\frac{6p^2(5p^2 + p + 4)}{6p^2} = 5p^2 + p + 4$.
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