1. ## Partial Fractions

g(x) = (2x-1)(x+2)(x-3)

Express g(x) in the form Ax³ + Bx² + Cx + D
I found that this was 2x³ - 3x² - 11x + 6

Find the constant a given that x+3 is a factor of g(x) + ax and Express x-3/ g(x)in partial fraction.

I can do the partial fractions part just not finding the constant
thanks

2. ## Factorising a polynomial

Hi -

Originally Posted by gracey
g(x) = (2x-1)(x+2)(x-3)

Express g(x) in the form Ax³ + Bx² + Cx + D
I found that this was 2x³ - 3x² - 11x + 6

Find the constant a given that x+3 is a factor of g(x) + ax and Express x-3/ g(x)in partial fraction.

I can do the partial fractions part just not finding the constant
thanks
The polynomial $f(x)$ has a factor $(x-k)$ if $f(k)=0$. So $g(x) + ax$ has a factor $(x+3)$ if its value is zero when $x = -3$.

Solve a simple equation for $a$, and you're done.