Question

If  and 1/ are zeros of polynomial 4x 2 – 2x + (k – 4), find the value of R.

Answer 1

$p(x) = 4 {x}^{2} - 2x + (k - 4) \\p(1) = 4 ({1)}^{2} - 2(1) + (k - 4) \\ = 4(1) - 2(1) + (k - 4) \\ = 4 - 2 +(k - 4) \\ = 2 + k - 4 \\ = - 2 + k = 0 \\ = k = 2$

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