1ung the factor theorem.JLIU e given expressUse factor theorem to fact

1.	1ung the factor theorem.JLIU e given expressUse factor theorem to factorise the following polynomials completely :(i) r3 + 2x2 – 5x – 6TT(i) 73 13 10express2016
Answer» You can use factor theorem.f(x) = x^3+2x^2-5x-6f(-1) = -1+2+5-6 = 0So, x+1 is a factor Use synthetic division,x^3+2x^2-5x-6 = (x+1)(x^2+x-6) = (x+1)(x-2)(x+3) = 0 So, the solution is x = -1, 2, -3

1ung the factor theorem.JLIU e given expressUse factor theorem to factorise the following polynomials completely :(i) r3 + 2x2 – 5x – 6TT(i) 73 13 10express2016

Answer»

You can use factor theorem.f(x) = x^3+2x^2-5x-6f(-1) = -1+2+5-6 = 0So, x+1 is a factor

Use synthetic division,x^3+2x^2-5x-6 = (x+1)(x^2+x-6) = (x+1)(x-2)(x+3) = 0

So, the solution is x = -1, 2, -3