Math, asked by Fariyashakil, 8 months ago

if polynomial 3 x cube + x square + 3 x minus 5 and x cube + x square - 2 X leave the same remainder divided by x minus 2 find the value of a also find the remainder in each case ​

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Answered by soumikmandal
5

Answer:

1

jesuschrist

jesuschrist

20.05.2017

Math

Secondary School

+8 pts

Answered

if the polynomials(2x3+ax2+3x-5)and (x3+x2-4x+a) leave the same remainder when divided by (x-2) find the value of a

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THE BRAINLIEST ANSWER!

sreedhar2

sreedhar2 Ace

Hey there!

Let the given polynomials be f(x) and g(x).

ATQ,

When f(x) and g(x) are divided by (x-2) they leave the same remainder.

I.e (x-2) is a factor of f(x) and g(x). It means 2 is the zero of f(x) and g(x)

So that,

f(2) = g(2)

2x³+ax²+3x-5 = x³+x²-4x+a

2(2)³+a(2)²+3(2)-5 = 2³+2²-4(2)+a

2(8)+a(4)+6-5 = 8+4-8+a

16+4a+1 = 4+a

17+4a = 4+a

4a-a = 4-17

3a = -13

a = -13/3.

Hope helped!

:)

Answered by madhavibagh05
2

Hope its help u guys

the value of a is -3

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