Question

the polynomial (2x3+αx²+3x-5) and (x3 + x2 - 4 x +α) leave the sun remainder is divided by(x-2)find the value of α​

Answer 1

Answer:

click on link below for your answer

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

https://brainly.in/question/1186836?utm_source=android&utm_medium=share&utm_campaign=question

Answer 2

Answer:

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.

HEY MATE PLS MARK ME AS BRINLIEST IF HELPFUL!!!