Q2 of 82 Page 121

By calculating the following polynomials f(x) let us write the values of f(1) and f(–1):

f(x) = 3x4 – 5x3 + x2 + 8

Formula used/Theory.


Putting the value of ‘x’ in f(x) gives out the value of f(x) on ‘x’


We have,


f(x) = 3x4 – 5x3 + x2 + 8


When we put x = 1


Then,


f(1) = 3(1)4 – 5(1)3 + (1)2 + 8


f(1) = 3 – 5 + 1 + 8


f(1) = 7


When we put x = -1


Then,


f(-1) = 3(-1)4 – 5(-1)3 + (-1)2 + 8


f(-1) = 3 – (-5) + 1 + 8


f(-1) = 3 + 5 + 1 + 8


f(-1) = 17


Conclusion.


The value of f(1), f(-1) are 7, 17 respectively.


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