Math, asked by AmitSwain, 1 year ago

find the value of k for which the polynomial X3-3x2+3x+k

Answers

Answered by AnkitaLenka
6
K = - 1
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Answered by Anonymous
3

ÊLLØ'....!!

\Huge\pink{\mathfrak{\underline{\underline{Solution:-}}}}

Given:-

x = 3

• It is given that 3 is Zero of polynomial

x² + 2x + k.

•When we put value of x as 3 in the polynomial we get 0 as resultant.

x² + 2x + k = 0

( 3 )² + 2× 3 + k = 0

9 + 6 + k = 0

k = - 15

The required polynomial is

x² + 2x - 15 = 0

x² + 5x - 3x - 15 = 0

x ( x + 5 ) - 3 ( x + 5 ) = 0

( x - 3 ) ( x + 5 ) = 0

• ( x - 3 ) = 0

x = 3 ( given )

• ( x + 5 ) = 0

x = - 5

- 5 is the second Zero of polynomial.

________________________________

THÅÑKẞ.....!!

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