Given that (3x-a)(x-2)=3x^3-32x^2+81x-70, determine the value of a. My answer was 3 but not if it is right. thanks for any help with this one.

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- Jun 27th 2006, 10:24 AMkwtolleyDetermine the value of a
Given that (3x-a)(x-2)=3x^3-32x^2+81x-70, determine the value of a. My answer was 3 but not if it is right. thanks for any help with this one.

- Jun 27th 2006, 11:45 AMSoroban
Hello, kwtolley!

Obviously, there is a typo in the problem . . .

Quote:

Given that , determine the value of

*quadratic*

. . and cannot possibly equal the cubic on the right. - Jun 28th 2006, 03:12 PMQuickQuote:

Originally Posted by**kwtolley**

- Jun 29th 2006, 10:05 AMkwtolleyredo of question sorry about that
Given that (3x-a)(x-2)(x-7)=3x^3-32x^2+81x-70, determine the value of a. My answer is 3 is that right. Thanks again for checking with me.

- Jun 29th 2006, 06:11 PMSoroban
Hello, kwtolley!

You blew it again: that's**87**x . . .

Quote:

Given that , determine the value of .

Multiply out the left side:

. .

Two polynomials are equal if their corresponding coefficients are equal.

So we have:

And the solution is: .