SOLUTION: Given that (3x-a)(x-2)(x-7)=3x^3-32x^2+87x-70, determine the value of a.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Given that (3x-a)(x-2)(x-7)=3x^3-32x^2+87x-70, determine the value of a.      Log On


   

Question 46315: Given that (3x-a)(x-2)(x-7)=3x^3-32x^2+87x-70, determine the value of a.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
(3x - a)(x - 2)(x - 7)
(3x - a)(x^2 - 9x + 14)
3x^3 - ax^2 - 27x^2 + 9ax + 42x - 14a = 3x^3 - 32x^2 + 87x - 70
How do I get -14 to -70?
-14a = -70
a = 5
3x^3 - ax^2 - 27x^2 + 9ax + 42x - 14a
3x^3 - (5)x^2 - 27x^2 + 9(5)x + 42x - 14(5)
3x^3 - 5x^2 - 27x^2 + 45x + 42x - 70
3x^3 - 32x^2 + 87x - 70
graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C3x%5E3+-+32x%5E2+%2B+87x+-+70%29