Question

check weather -3and 3 are the zeros of the polynomial ×4-81

Answer 1

Heya!!!

Answer to your question:

There are many ways in which you can check this:-

➡
${x}^{4 } - 81$
put x=-3 in this equation,

${ - 3}^{4} - 81 = 81 - 81 = 0$
Hence, it's a zero of this equation..

put x=3 in this equation,
${3}^{4} - 81 = 81 - 81 = 0$
Hence, it's a zero of this equation..


➡zeroes=-3,3
factors=(x-3)(x+3)
$= {x}^{2} - 9$
If it divides the equation , then- 3,3 are zeroes of equation.

$\frac{ {x}^{4} - 81 }{ {x}^{2} - 9}$
$\frac{( {x}^{2} + 9)( {x}^{2} - 9) }{ {x }^{2} - 9}$
${x}^{2} + 9$
Hence, these are zeroes of this equation


Hope it helps ^_^