Verify whether 2 and 0 are zeroes of the polynomial X – 2x.​

Question

Verify whether 2 and 0 are zeroes of the polynomial X – 2x.​

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Parker 2 weeks 2021-11-15T07:44:33+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-15T07:46:04+00:00

    Answer:

    here is the answer

    Step-by-step explanation:

    p(x)=x-2x

    p(2)=2-2(2)=2-4=-2

    p(0)=0-2(0)=0

    0
    2021-11-15T07:46:05+00:00

    Given :

    Verify whether 2 and 0 are zeroes of polynomial x^2 -2x

    To Verify :

    Whether 2 and 0 are zeroes of polynomial x^2 -2x

    Solution :

    Given polynomial is  x^2 -2x

    Let p(x) be the given polynomial

     p(x)= x^2 -2x

    • To verify that 2 and 0 are zeroes of polynomial
    • p(x) we have to put x=2 and x=0 in p(x) and hence it must satisfies the polynomial.

     \:  \:  \:  \:  \:  \:  \:  \fbox{ p(x)=0 for x=2 and 0}  \orange\bigstar

    Now put x=2 in p(x)

     \sf{p(2)=2^2-2(2)} \\   \:  \: \sf{=4 - 4} \\  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \boxed {\frak{p(2) =0}}  \pink\bigstar

    Now put x=0 in p(x)

     \sf{p(0)=0^2-2(0)} \\   \:  \: \sf{=0-0} \\  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \boxed {\frak{p(0) =0}}  \blue\bigstar

    • Hence, 0 and 2 both satisfy
    • The given polynomial p(x) is a quadratic polynomial. Hence, a quadratic polynomial has two zeroes.

    Thank you!

    @itzshivani

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