Question

Verify whether 2 and 0 are zeros of the polynomial
p(x) =x square - 2x

Answer 1

Hey!!!!

________

We have p(x) = x² - 2x

Thus

Zeros => 2 and 0

Verification ⤵️

1. p(2)

=> x² - 2x

=> (2)² - 2(2)

=> 4 - 4

=> 0

2. p(0)

=> (0)² - 2(0)

=> 0

HENCE VERIFIED

Method 2⤵️

Factorising p(x)

=> x² - 2x = 0

=> x(x - 2) = 0

Thus x = 0 or x - 2 = 0

=> x = 2

Hence Verified

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Hope this helps ✌️

Answer 2

p(x) = x²-2x
on putting the value of x = 2
then, 2²-2×2
4-4
=0
on putting the value of x=0
then,0² - 2×0
=0
hence, 2 and 0 are the zeroes of the given polynomial