Is 2 a Root of the Polynomial 4x^3 - 3x^2 - kx - 4k^2 = 0?

Thread starter NneO
Start date Oct 6, 2012
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Function Polynomial

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To determine if 2 is a root of the polynomial 4x^3 - 3x^2 - kx - 4k^2 = 0, substituting x = 2 into the equation is necessary. This leads to the expression 4(2)^3 - 3(2)^2 - k(2) - 4k^2 = 0. Simplifying this results in an equation that can be solved for k. The discussion emphasizes that the problem primarily involves basic integer arithmetic. Ultimately, finding the correct value of k is essential for confirming that 2 is indeed a root of the polynomial.

Oct 6, 2012

NneO

Homework Statement

if 2 is a root of 4x^3-3x^2-kx-4k^2= 0 find th value of k

Homework Equations

The Attempt at a Solution

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Oct 6, 2012

Ray Vickson

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Dearly Missed

NneO said:

Homework Statement

if 2 is a root of 4x^3-3x^2-kx-4k^2= 0 find th value of k

Homework Equations

The Attempt at a Solution

What have you tried so far?

RGV

Oct 6, 2012

HallsofIvy

Science Advisor

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Do you not understand that the only mathematics involved is integer arithmetic?

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