Question

Find the solution of this equation : x^2+3x+2x+6 using the Fundamental Theorem of Algebra.

Answer 1

this is actually not an equation
you mean \(x^2+3x+2x+6=0\) ?

Answer 2

Yes

Answer 3

i guess you need to factor

\[x^2+3x+2x+6=x(x+3)+2(x+3)=(x+2)(x+3)\] set each factor equal to zero and solve
like \(x+2=0\iff x=-2\) for the first one

Answer 4

just to be grumpy, you do not find anything using the fundamental theorem of algebra, so i am wondering who wrote this question

Answer 5

A dumb study guide -.-

Answer 6

yes, very dumb indeed