Math, asked by ranishubhashni, 11 months ago

what should be added to the polynomial x^2-5x^2+4 so that (x-3) is the factor of the resulting polynomial??????? ​

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Answered by ItzRadhika
4

p(x) = x { }^{2}  - 5x {}^{2}  + 4 \\  \\ g(x) = x - 3 \\  = x - 3 = 0 \\  = x = 3 \\  \\ let \:be \: add \: k \\ x { - 5x {}^{} }^{2}  + 4 + k = 0 \\putting \: x = 3 \\   = (3) {}^{2}  - 5 \times (3) { + 4 + }^{} k = 0 \\  = 9 - 5 \times 9 + 4 + k = 0 \\  = 9 - 45 + 4 + k = 0 \\  = 13 - 45 + k = 0 \\  =  - 32 + k = 0 \\  = k = 32

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Answered by shivanityagi9410
3

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