If the polynomial 4x^3 + ax^2 - 2x + 7 and 2x^3 + x^2 + x - a leave the remainder when divided by x-3 , then the value of a is ?
Answers
Answered by
2
Answer:
a = -13/3
Step-by-step explanation:
value of a....
Let the given polynomials be f(x) and g(x).
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.
Answered by
0
Answer:
-43/10 is the correct answer
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