Question

coefficient of x square in (3x+xcube) (x+1upon x)

Answer 1

if you want the answer to be factorised then use the second method otherwise, in order to find the coefficient of x just multiply both terms of the first bracket by all of the second

Answer 2

Answer: 4

We first simplify the expression as follows:

$(3x+x^3)(x+\frac{1}{x}) \\ \\ = (3x\times x) + (3x\times \frac{1}{x}) + (x^3\times x) + (x^3 \times \frac{1}{x}) \\ \\ = 3x^2+3+x^4+x^2 \\ \\ = x^4+4x^2+3$

We see that the term $4x^2$ appears in the simplified expression. 

So, Coefficient of $\bold{x^2}$ is 4.