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ISEE Upper Level
Mathematics Achievement

Finding the Value of k in a Polynomial with a Given Root

Very Hard Algebra Polynomials

Consider the polynomial function defined as:

$$P(x) = 2x^4 - 3x^3 + kx^2 + 6x - 1$$

If the polynomial has a root at $$x = 1$$, what is the value of the constant $$k$$?

Hint

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