Question

if 2 is a zero of the polynomial p(x)=2x²-3x+7a,find the value of a

Answer 1

Here's your solution....

Given,

p(x) = 2x²-3x+7a

2 is the zero of the polynomial

So, substitution

p(2) = 0

p(2) = 2(2)^2 - 3x + 7a

0 = 2(4)-3(2)+7a

0 = 8-6+7a

0 = 2+7a

-2 = 7a

-2/7 = a

-2/7 = a

The value of a is -2/7

______________________


Hope this helps you....

Answer 2

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

Step-by-step explanation:

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

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