Question

If 2 is a zero of the polynomial P(x) = 2x2
– 3x + 7a, find the value of a

Answer 1

The value of a = - 2/7

Given :

2 is a zero of the polynomial P(x) = 2x² - 3x + 7a

To find :

The value of a

Solution :

Step 1 of 2 :

Write down the given polynomial

Here the given polynomial is P(x) = 2x² - 3x + 7a

Step 2 of 2 :

Find the value of a

It is given that 2 is a zero of the polynomial P(x) = 2x² - 3x + 7a

So by the given condition

P(2) = 0

$\displaystyle \sf{ \implies }2 \times {2}^{2} - (3 \times 2) + 7a = 0$

$\displaystyle \sf{ \implies }8 - 6 + 7a = 0$

$\displaystyle \sf{ \implies }2 + 7a = 0$

$\displaystyle \sf{ \implies } 7a = - 2$

$\displaystyle \sf{ \implies }a = - \frac{2}{7}$

Hence the required value of a = - 2/7

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