If x = -2 is a root of the polynomial Rx) = -2×4 – – -tx- 10, then find the value of t.

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If x = -2 is a root of the polynomial Rx) = -2×4 – – -tx- 10, then find the value of t.

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Eliza 2 weeks 2021-09-11T04:44:40+00:00 1 Answer 0 views 0

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    2021-09-11T04:46:32+00:00

    Answer:

    Answer:

    let \: p(x) =  – 2 {x}^{4}  – 7 {x}^{3}  – tx – 10 \:  \\ be \: the \: given \: polynomial \\ since \: x =  – 2 \: is \: a \: root \: of \: p(x) \\ hence \:  \\ p( – 2) = – 2 {( – 2)}^{4}  – 7 {( – 2)}^{3}  – t( – 2) – 10  \\  =  – 32 + 56 + 2t – 10 \\  = 56 – 42 + 2t \\ p( – 2) = 14 + 2t \\ put \: p( – 2) = 0 \\ thereore \\ 14 + 2t = 0 \\ 2t =  – 14 \\ t =  –  \frac{14}{2}  \\ t =  – 7 \\

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