Math, asked by sahooruma, 6 days ago

the
of P ( x ) = x²-x²+x+1, then
then find
value of P(1) + P(-)
2​

Answers

Answered by arhankhan462316
0

Answer:

  1. hii. jghiolnvgfddjkppkjhu
Answered by keshav9686
5
  • \huge{\underline{\underline{\boxed{\sf{\red{Answer࿐}}}}}}Given the polynomial p(x)=x
  • 3
  • −x
  • 2
  • +x+1
  • \text{we have to find the value of }\frac{1}{2}(p(-1)+p(1))we have to find the value of
  • 2
  • 1
  • (p(−1)+p(1))
  • p(x)=x^3-x^2+x+1p(x)=x
  • 3
  • −x
  • 2
  • +x+1
  • Put x=-1 and x=1
  • p(-1)=(-1)^3-(-1)^2+(-1)+1=-1-1-1+1=-2p(−1)=(−1)
  • 3
  • −(−1)
  • 2
  • +(−1)+1=−1−1−1+1=−2
  • p(1)=(1)^3-(1)^2+(1)+1=1-1+1+1=2p(1)=(1)
  • 3
  • −(1)
  • 2
  • +(1)+1=1−1+1+1=2
  • \frac{1}{2}(p(-1)+p(1))
  • 2
  • 1
  • (p(−1)+p(1))
  • =\frac{1}{2}(-2+2)=0=
  • 2
  • 1
  • (−2+2)=0
  • \text{Hence, the value is }\frac{1}{2}(p(-1)+p(1))\text{ is 0.}Hence, the value is
  • 2
  • 1
  • (p(−1)+p(1)) is 0.
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