Question

If x = 2 is a zero of the polynomial " title="2x {}^{2} + 3x - p" alt="2x {}^{2} + 3x - p" align="absmiddle" class="latex-formula">, then find the value if p.

Answer 1

Given : $f(x) = 2x {}^{3} + 3x - p$

As x = 2 is a zero of the polynomial
So, $f(2) = 0$
$2.2 {}^{3} + 3.2 - p = 0 = > 16 + 6 - p = 0$
$= > 22 - p = 0 = > p = 22$