Question

Write the product in descending powers of x. (x2 + 3x + 1)(x2 + x + 2)

Answer 1

Multiply each term in one bracket by each in the other: 

(I assume x2 means x^2 / x squared) 

(x^2 + 3x + 1)(x^2 + x + 2) 

= x^4 + x^3 + 2x^2 + 3x^3 + 3x^2 + 6x + x^2 + x +2 

Now collect all terms: 

= x^4 + 4x^3 + 6x^2 + 7x + 2