Question

if 2 is a zero of polynomial p(n) = 2x³ _ 3x + 7a, then find the value of a​

Answer 1

The correct value of "a" will be "-2/7".

Step-by-step explanation:

$\begin{gathered}The \ given \ equation \ is:\\p(x)=2x^2-3x+7a\\If \ 2 \ is \ the \ zero \ of \ the \ polynomial,then\\p(2)=2x^2-3x+7a\\text{\O}n \ putting \ the \ value \ in \ the \ above \ equation,we\ get\\0=2(2)^2-3(2)+7a\\0=2(4)-3(2)+7a\\0=8-6+7a\\0=2+7a\\7a=-2\\a=-\frac{2}{7}\end{gathered}$