Bush Schneider
08/03/2023 · High School
Use the long division method to find the result when \( 16 x^{3}+16 x^{2}+7 x+1 \) is divided by \( 4 x+1 \)
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Step-by-step Solution
Perform long division of \( 16x^3 + 16x^2 + 7x + 1 \) by \( 4x + 1 \).
Divide the polynomials by following steps:
- step0: Using Long Division to Divide Polynomials:
\(\left(16x^{3}+16x^{2}+7x+1\right)\div \left(4x+1\right)\)
- step1: Calculate:
\(\left(4x^{2}+3x+1\right)\text{ }\textrm{remainder}\text{ }0\)
The result of dividing \(16x^{3} + 16x^{2} + 7x + 1\) by \(4x + 1\) using long division is \(4x^{2} + 3x + 1\) with a remainder of 0.
Quick Answer
The result is \(4x^{2} + 3x + 1\).
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