[MOVED] polynomial and remainder theorem stuff?

[marshmello]

Find the value of 'a' and 'b' and the remaining factor if the expression ax^3 - 11x^2 + bx + 3 is divisible by x^2 - 4x^2 + 3

Am I supposed to find a remainder? Or should I simplify x^2 - 4x^2 + 3 and then put it in for x? I'm so confused.

 

[stapel]

Re: polynomial and remainder theorem stuff?

Or should I simplify x^2 - 4x^2 + 3 and then put it in for x?

Are you sure the exercise gave the divisor as "x² - 4x² + 3", and not "x³ - 4x² + 3"?

What do you mean by "putting it [the divisor?] in for x"? Where would you be putting what, and why?

Try doing the long division. Then note that, if the dividend is "divisible by" the divisor, then the remainder is zero. Use this, and the remainder expression, to create a set of equations (by equating coefficients). Then solve the system for the values of "a" and "b".

Eliz.

 

[Denis]

Find the value of 'a' and 'b' and the remaining factor if the expression ax^3 - 11x^2 + bx + 3 is divisible by x^2 - 4x^2 + 3

Well, if you remove the a and b and divide x^3 - 11x^2 + x + 3 by -2x^2 + 3 ,
you get -x/3 + 11/3 with remainder 2x - 8.
Which means....which means....time to go back to watching football :shock: