in the polynomial 3x²-4x -7 find the sum of two zeros of the polynomial​

Question

in the polynomial 3x²-4x -7 find the sum of two zeros of the polynomial​

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Savannah 2 years 2021-07-08T04:35:49+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-07-08T04:37:11+00:00

    Answer:

    4/3 is the sum of two zeroes

    0
    2021-07-08T04:37:24+00:00

    Given Polynomial → 3x² – 4x – 7

    \\

    For finding zeroes of any polynomial, first, we need to factorize it.

    \\

    For factorizing 3x² – 4x – 7, find 2 numbers such that:

    • Their product is -21
    • Sum is -4

    The 2 numbers which satisfy the above criteria are +3 and -7

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    So, by splitting the middle term,

    3x² – 4x – 7 = 0

    ⇒ 3x² + 3x – 7x – 7 = 0

    ⇒ 3x (x + 1) -7 (x + 1) = 0

    ⇒ (3x – 7) (x + 1) = 0

    \\

    Zeros of the polynomial:

    • 3x – 7 = 0

    x = 7/3      — α

    • x + 1 = 0

    x = -1         — β

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    Finding Sum of Zeros:

    α + β

    \implies \dfrac{7}{3}-1\\\\

    \implies \dfrac{7-3}{3}\\\\

    \implies \boxed{\bf{\alpha + \beta =\dfrac{4}{3}}}

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