3 Consider the polynomials : f(x) = (3x – 5) (5x – 4) + (5 – 3x) ( x + 2)
g(x) = 9x² – 30x + 25.
1° Factorize f(x) et g(x).
2º Solve each of these equations : a) f(x) = 0 ; b) f(x) = g(x).
3º Consider the fractional expression : h(x) = f(x)
8(x)
a) For what values of the real number x is h(x) defined ?
b) Simplify h(x).
c) Solve the equation h(x) = 0.