Question

Verify whether the following are zeroes of the polynomial indicated against

p(x) = (x-1) (x-2), x = -2,1​

Answer 1

Answer:

Hey there !!!!!

Zero of the polynomial of P(x)  is value of variable "x" at which P(x) = 0

1) p(x) = 3x + 1, x = -1/3

    p(-1/3) = -3/3 + 1 = -1+1 = 0

So x=-1/3 is a zero of polynomial of p(x)  

2) p(x) = 5x-π at x= 4/5

    p(4/5) = 4-π≠0

So 4/5 is not a zero of polynomial of p(x)  

3) p(x) = x² - 1, x = 1, -1  

   p(1) = 1-1 = p(-1) =1-1 =0

So 1,-1 are zeroes of polynomial for p(x)

4) p(x) = (x + 1) (x - 2), x = -1, 2

    p(-1) = (-1+1)(-3) = 0 = p(2) = (3)(2-2) =0

So, 2,-1 are zeroes of polynomial for p(x)

5) p(x) = x²

    p(0) = 0 So "0" is a zero of polynomial of p(x)

6) p(x) = 2x+1

    p(1/2) = 2/2 + 1 = 2 ≠ 0

So, 1/2 is not a zero pf polynomial of p(x)

Hope this helped you