Question

Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29)

Answer 1

Answer:

x=-4,1,2+5i,2-5i

Step-by-step explanation:

Given is an algebraic expression g(x) as product of two functions.

Hence solutions will be the combined solutions of two quadratic products

$g(x) = (x^2 + 3x - 4)(x^2 - 4x + 29)$

I expression can be factorised as

$(x+4)(x-1)$

Hence one set of solutions are

x=-4,1

Next quadratic we cannot factorize

and hence use formulae

$x=\frac{4+/-\sqrt{16-116} }{2} =2+5i, 2-5i$