find zeros and verify the relation between zeroes and coefficients of the polynomial 5×2+10x+5​

find zeros and verify the relation between zeroes and coefficients of the polynomial 5×2+10x+5​

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Rylee

2 thoughts on “find zeros and verify the relation between zeroes and coefficients of the polynomial 5×2+10x+5​”

  1. Answer:

    Given polynomial is 5x

    2

    −8x−4

    Here, a=5,b=−8 and c=−4

    5x

    2

    −8x−4=5x

    2

    −10x+2x−4

    =5x(x−2)+2(x−2)

    =(x−2)(5x+2)

    So, the value of 5x

    2

    −8x−4 is zero when x=2 or x=

    5

    −2

    Threrfore , the zeroes of 5x

    2

    −8−4 are 2 and

    5

    −2

    .

    Now, sum of zeroes =2+(

    5

    −2

    )=

    5

    8

    =

    a

    −b

    product of zeroes =2×(

    5

    −2

    )=

    5

    −4

    =

    a

    c

    Hence verified.

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