Question

Why are 1 by 4 and -1 zeros of the polynomial p x = 4 x 2 + 3 x-1

Answer 1

Answer:

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Step-by-step explanation:

4x^2+3x-1

4x^2+(4-1)x-1

4x^2+4x-x-1

4x(x+1)-1(x+1)

(x+1) (4x-1)

x=-1    4x=1

            x=1/4

Answer 2

Step-by-step explanation:

P(X) = 4X^2 + 3X - 1

X = 1/4

P(1/4) = 4(1/4)^2 + 3(1/4) - 1

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

= 1/4 + 3/4 - 1

= 1 - 1

= 0

X = -1

P(-1) = 4(-1)^2 + 3(-1) - 1

= 4(1) - 3 - 1

= 4 - 4

= 0

So, 1/4 and -1 are zeros of the polynomial P(X) = 4X^2 + 3X - 1