Question

why are 1/4 and -1 zeroes of polynomial p(x)=4x2+3x-1?

Answer 1

1/4 & - 1 are the zeros of polynomial 4x^2 + 3x - 1 because when we put 1/4 or - 1 in place of x we get the value of p ( x ) as zero

Answer 2

$<b>Answer :<b>$

A zero or root of a polynomial function is a number that, when plugged in for the variable, makes the function equal to zero.

Therefore, if p(x)=0, for a given x then the value of x is zero of polynomial.

p(x) = 4x² + 3x – 1

For 1/4,

p(1/4) = 4(1/4)² + 3(1/4) – 1

⇒ p(1/4) = 1/4 + 3/4 – 1

⇒ p(1/4) = 1 – 1

⇒ p(1/4) = 0

Therefore, x = 1/4 is a zero of the

polynomial 4x² + 3x – 1.

For -1,

p(-1) = 4(-1)² + 3(-1) – 1

⇒ p(-1) = 4 – 3 – 1

⇒ p(-1) = 4 – 4

⇒ p(-1) = 0

Therefore, x = -1 is a zero of the

polynomial 4x² + 3x – 1.

Hence, x = 1/4 and x = -1 are zeroes of the polynomial 4x² + 3x – 1.