Question

if polunominals ax^3+3x^2-3 and 2x^-5x+a leave same reminder when each is divided by[x-4] find the value of a

Answer 1

The equation has a mistake.

The right equation has power of 2x is 3.

i.e.2x³-5x+a

Answer:  The required value of a is 1.

Step-by-step explanation:  Given that the following polynomials leaves the same remainder when divided by (x-4):

f(x)=ax²+3x²-3 -(1)

g(x)=2x³-5x+a -(2)

We are to find the value of a.

Remainder theorem :  When (x - b) divides a polynomial p(x), then the remainder is p(b).

So, from (1) and (2), we get

f(4)=g(4)

a×4³+3×4²=2×4³-5×4+a

64a+48-3=128-20+a

64a-a=108-45

63a=63

a=63/63

a=1

Thus, the required value of a is 1.

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Answer 2

Step-by-step explanation:

what value we should find