Math, asked by tannukumar289, 11 months ago

Find all the zeroes of the polynomial x³-4x²+5x-2 if 1 is one of zeroes.

Answers

Answered by brainlyaryan12

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If 1 is a zero Then x-1 should be a factor...

On dividing $\large{x^3-4x^2+5x-2}$

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x-1)x³-4x²+5x-2(x²-3x+2

.....-x³+x²

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.........-3x²+5x-2

.........+3x²-3x

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...................2x-2

..................-2x+2

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.......................0

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Now Remainder is Zero and we got an Quotient...

On factorising quotient...

$\large{x^2-3x+2}$

➡️ $x^2-x-2x+2$

➡️ $x(x-1)-2(x-1)$

➡️ $(x-2)(x-1)$

New Zeroes are-

➡️x-2=0

➡️ $\Large{x=2}$

And...

➡️x-1=0

➡️ $\Large{x=1}$

Now all zeroes are--

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Answered by trais4820

Answer:

If x-3 is factor of P(x)=x²+kx+6 the value of k is

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