Question

find the zeros of the following quadratic polynomial P of x is equal to 25 x square + 5 x​

Answer 1

Zeros of p(x) = $25{x}^{2} + 5x$

Factorising the polynomial

$p(x) =25{x}^{2} + 5x$

$p(x) = 5x(5x+1)$

Factors are $(5x)(5x + 1)$

To find the zeroes

p(x) = 0

$(5x)(5x + 1) = 0$

$(5x) = 0 ; (5x + 1) = 0$

$x = \dfrac{0}{5} = 0$

$x = \dfrac{-1}{5}$

Zeros of p(x) = $25{x}^{2} + 5x$ are 0 and $\dfrac{-1}{5}$

Answer 2

Answer:

Given equation: 25x² + 5x

$\implies$ 25x² + 5x

$\implies$ 5x ( 5x + 1)

$\implies$ ( 5x = 0 ) and ( 5x + 1 = 0 )

$\implies$ ( x = 0/5 = 0 ) and ( x = -1/5)

Hence:

The zeroes of the following quadratic polynomial P of x is 0 and -1/5.

Explanation:

1. Taken 5x as common because here we can't solve the question by Splitting the middle term.
2. Then Equated the Factor with zero to get the Zeroes of the Polynomial.