Math, asked by rohan467, 9 months ago

Findsum of values of the polynomial p(x)=x⁴-3x²+2x-1 at x=1and x=2​

Answers

Answered by Anonymous
75

Given:-

• A polynomial p(x)= x⁴-3x²+2x-1

To Find:-

• Sum of values of the given polynomial at x=1 and x=2

Solution:-

At first, we need to substitute x from 1 and 2 in the expression of polynomial.

In case of x= 1 :-

Put x = 1 in the given polynomial

\mathrm{p(1)=(1)^{4}-3(1)^{2}+2(1)-1}

\mathrm{p(1)=1-3+2-1}

\mathrm{p(1)=3-4}

\mathrm{p(1)=-1}

In case of x= 2 :-

Put x = 2 in the given polynomial

\mathrm{p(2)=(2)^{4}-3(2)^{2}+2(2)-1}

\mathrm{p(2)=16-3(4)+4-1}

\mathrm{p(2)=16-12+4-1}

\mathrm{p(2)=20-13}

\mathrm{p(2)=7}

__________________________________________________

Now, we have to find the sum of values of the given polynomial at x=1 and x=2.

→ Sum= p (1) + p (2)

= -1+7

= 6

Hence,

the sum of values of the polynomial ( at x=1 and x=2) is = 6

Answered by Anonymous
2

Answer:

6 is the answer

hope it will help you mark as brainlist

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