Find a polynomial f(x) of degree 4 that has the following zeros. 0, -5, 8, -2

Question

Find a polynomial f(x) of degree 4 that has the following zeros.
0, -5, 8, -2

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Khải Quang 6 months 2021-08-27T20:47:04+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-08-27T20:48:32+00:00

    Answer:

    The polynomial of the function degree ‘4’

    x⁴ – x³ -46 x² -80x =0

    Step-by-step explanation:

    Explanation:-

    Given zeros are 0 ,-5,8,-2

    x =0 , x=-5 ,x=8 and x=-2

    (x-0) , ( x+5) , (x-8) and (x+2)

    The polynomial function with degree ‘4’

    (x-0)(x-(-5)(x-8)(x-(-2) =0

    x ( x+5) (x-8) (x+2) =0

    (x² +5x)(x-8)(x+2) =0

    (x³ -8 x²+5x² -40 x)(x+2) =0

    ( x³ -3 x² – 40 x) (x +2) =0

    x⁴ + 2 x³ – 3 x³- 6 x²-40 x²- 80 x =0

    x⁴ – x³ -46 x² -80x =0

    Final answer:-

    The polynomial of the function degree ‘4’

    x⁴ – x³ -46 x² -80x =0    

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