Question

check whether-2&2 are the zeros of the polynomial x power 4 -16​

Answer 1

Answer:

given,

p(x ) = x⁴ -16

so,

p(2) = 2⁴ -16

= 16 - 16

= 0

so, 2 is a zero of the polynomial

also,

p(-2) = (-2)⁴ -16 = 16 -16 = 0

so, -2 is also the zero of polynomial.

$.$

Answer 2

Answer:

Question

check whether-2 and 2 are the zeros of the polynomial x⁴- 16

Given

polynomial f(x) = x⁴-16

To find

if 2 and -2 are zeros of polynomial x⁴-16

Solution

$\bold{f(x) = x⁴-16}$

▪️we will use hit and trial method

put 2 as the value of x

f(2) = 2⁴-16

f(2) = 16 -16

f(2) = 0

________________

put 2 as the value of x

f(-2) = (-2)⁴-16

f(-2) = 16 -16

f(-2)= 16 -16

f(-2)= 0

________________

∴ 2 and -2 are zero of polynomial f(x) x⁴-16.