Question

7. Find the P(0), P(1) and P(-1) for each of the following given polynomials

i) x^4+x+1
ii)9x^3+2x^2+x+7


8. Find the value of a is (x-5) a factor of x^3-3x^2+x+7​

Answer 1

Answer:

i) p(0) = (0)^4+0+1

1

p(1) = (1)^4+1+1

3

p(-1) = (-1)^4+(-1)+1

1-1+1

1

ii) p(0) = 9×(0)^3+2×(0)^2+0+7

7

p(1) = 9×(1)^4+2×(1)^2+1+7

19

p(-1) = 9×(-1)^3+2×(-1)^2+(-1)+7

-9+2-1+7

-1

8. x-5=0

x=5

p(5) = (5)^3-3×(5)^2+5+7

125-75+5+7

62

Step-by-step explanation:

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