Question

P(x)=5x-π;x=-3÷2 verify whether the value s of x given in each case are the zeroes of the polynomial or not ?

Answer 1

Hi,

solution:
➖➖➖
To find that given value of x is root or zero of

polynomial or not,we must put that value in

polynomial,if it becomes zero,then given value

of x is root of polynomial.

$x = \frac{ - 3}{2} \\ now \: put \\ p(x) = 5x - \pi \\ p( \frac{ - 3}{2} ) = 0 \\ = 5( - \frac{3}{2} ) - \pi \\ = - \frac{15}{2} - \pi \\ = \frac{ - 15 - 2\pi}{2} \: \: is \: \: not \: equal \: to \: zero.$
so,
$x = \frac{ - 3}{2}$
is not a zero of p(x).

hope it helps you.

Answer 2

Solution:-
given equestion :- P(x)=5x-π
if
$x = \frac{ - 3}{2} then \: \: p(x) = 0 \\ we \: get \: \\ p( \frac{ - 3}{2} ) = 5 \times ( \frac{ - 3}{2} ) - \pi = 0 \\ \frac{ - 15}{2} - \pi = 0 \\ \frac{ - 15 - 2\pi}{ 2} = 0$
here,
$p( \frac{ -3 }{2} ) \: is \: not \: zero$
then given value of x is not zeroes of the polynomial.

■I HOPE ITS HELP■