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NneO
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Homework Statement
if 2 is a root of 4x^3-3x^2-kx-4k^2= 0 find th value of k
Is 2 a Root of the Polynomial 4x^3 - 3x^2 - kx - 4k^2 = 0?
- Thread starter NneO
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- Function Polynomial
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SUMMARY
The polynomial equation 4x^3 - 3x^2 - kx - 4k^2 = 0 has 2 as a root, which leads to the conclusion that substituting x = 2 must satisfy the equation. By substituting 2 into the polynomial, the equation simplifies to 32 - 12 - 2k - 4k^2 = 0. This results in the quadratic equation 4k^2 + 2k - 20 = 0, which can be solved using the quadratic formula to find the values of k.
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Students studying algebra, mathematicians solving polynomial equations, and educators teaching polynomial root concepts.
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