SOLUTION: The polynomials (ax^3 + 3x^2 - 3) and (2x^3 - 5x + a) when
divided by (x - 4) leaves the same reminder. What is
the value of a?
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-> SOLUTION: The polynomials (ax^3 + 3x^2 - 3) and (2x^3 - 5x + a) when
divided by (x - 4) leaves the same reminder. What is
the value of a?
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Question 550130: The polynomials (ax^3 + 3x^2 - 3) and (2x^3 - 5x + a) when
divided by (x - 4) leaves the same reminder. What is
the value of a? Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! The polynomials (ax^3 + 3x^2 - 3) and (2x^3 - 5x + a) when
divided by (x - 4) leaves the same reminder. What is
the value of a?
**
Using the Remainder Theorem which states: When a polynomial is divided by (x-a) the remainder=f(a).
..
Since given equations result in the same remainder when divided by (x-4), set f(4)1=f(4)2.
f(4)1=ax^3 + 3x^2 - 3=64a+48-3
f(4)2=2x^3 - 5x + a=128-20+a
64a+48-3=128-20+a
63a=63
a=1
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