Question

Why are 1/4and-1 zeros of polynomial p(x)=4xsquare 3x-1

Answer 1

p(x) = 4x² + 3x - 1

¼ and -1 are zeroes.
x = ¼ and x = -1

Check:-

p(¼) = 4(¼)² + 3(¼) - 1

= 4(1/16) + 3/4 - 1

= 1/4 + 3/4 - 1

= 4/4 - 1

= 1-1 = 0

p(-1) = 4(-1)² + 3(-1) - 1

= 4(1) - 3 - 1

= 4 - 4

= 0

As their result is zero,they are the zeroes of the polynomial.

1/4 and -1 are the zeroes of the polynomial p(x)

Answer 2

Hi !

p(x) = 4x² + 3x - 1

1/4 and -1 are zeroes of p(x)



p(1/4) = 4(1/4)² + 3(1/4) - 1

          = 4(1/16) + 3/4 - 1

         = 1/4 + 3/4 - 1
        = 4/4 - 1
        = 0
====================

p(-1) = 4(-1)² + 3(-1) - 1

       = 4(1) - 3 - 1

      = 4 - 4

     = 0
p(1/4) = 0
p(-1) = 0

Hence , 1/4 and -1 are the zeroes of  p(x)