Question

Maths

If x=2 is a zero of polynomial f(x) =2x² -3x + 7a , find value of a .

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Answer 1

f(x) =2x² -3x + 7a

f(x)=0

2x² -3x + 7a = 0

2(2)²-3(2)+7a = 0

7a = 6 -8 = -2

a = - 2/7

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Answer 2

Answer:

Given:

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

To find:

a

Solution:

f(x)= 2x²-3x+7a

$\: \: \: \: \: \: f \: {(x)} \: \: = \: \: {0}$

$\: \: \: \: \: \: => \: \: {2x}^{2} \: + \: {3x} \: + \: {7a} \: \: = \: \: 0$

$\: \: \: \: \: \: => \: \: {2}{(2)}^{2} \: - \: {3}{(2)} \: + \: {7a} \: \: = \: \: {0}$

$\: \: \: \: \: \: => \: \: {8} \: - \: {6} \: + \: {7a} \: \: = \: \: {0}$

$\: \: \: \: \: \: => \: \: {a} \: \: = \: \: \frac{-2}{7}$