Question

The polynomials 3x3 - ax2 + 5x - 13 and (a + 1)X? - 7% + 5 leave the same
remainder when divided by x - 3. Find the value of 'a'.​

Answer 1

hope you understand this

Answer 2

Answer:

given (X+2) and (X+3) are factors of X cube + ax+ b.

we have to find the values of a and b.

Step-by-step explanation:

(X+2) is a factor of X cube +ax+b

(-2) cube + a(-a) +b = 0. (*X+2 =0., X=-2).

-8-2a +b=0

-2a+b=8 _ 1st equation.

also given that (X+3) is a factor of X cube +ax +b.

(-3) cube + a(-3) +b=0-27-3a+b=0

-3a+b=27_ equation 2.

subtracting equation 1 from equation 2.we have

-a =19

a=-19.

substituting a=-19 in equation 1,we have

-2×(-19)+b=8

38+b=8

b=-30

there fore, a=-19

b= -30.

I hope u have understood this question.

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