Math, asked by sunilsharma450pafalt, 1 year ago

show that x=1is zero of the polynimial 2x^3-3x^2+7x-6

Answers

Answered by Panzer786
1
Heya !!!



X = 1


P(X) = 2X³ - 3X² + 7X -6


P(1) = 2 × (1)³ - 3 × (1)² + 7 × 1 -6




=> 2 × 1 - 3 × 1 + 7 - 6


=> 2 - 3 + 7 -6



=> 9-9


=> 0



Remainder = 0


Hence,



1 is a zero of the given polynomial.



★ HOPE IT WILL HELP YOU ★
Answered by abhi569
0
If (1) is the root of the equation, so remainder must be 0

By Remainder theorem,



=> 2x^3 - 3x^2 + 7x - 6

=> 2(1)³ - 3(1)² + 7(1) - 6

=> 2(1) - 3(1) + 7(1) - 6

=> 2 - 3 + 7 - 6

=> -1 + 1

=> 0


As the remainder of the given equation is 0, 1 is the factor of given equation.


.


I hope this will help you


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