Question

(x² + 3x + 1)(x² + x + 2) Help! Please!

Answer 1

X ^ 4 + X ^3 + 2x^2 + 3x^3 + 3x^2 + 6x + x^2 + X + 2.

Then collect like terms and arrange the polynomial in descending order from the highest exponential value to the lowest.

X^4 + 4x^3 + 6x^2 + 7x + 2.

This is the final solution.

Answer 2

Solution:
Step 1. Distribute sum groups

$x^{2} ( x^{2} +x+2)+3x( x^{2} +x+2)+ x^{2} +x+2$

Step 2. Distribute
 $x^{4} + x^{3} + 2x^{2} +3x( x^{2} +x+2)+ x^{2} +x+2$

Step 3. Distribute
$x^{4} + x^{3} +2 x^{2} +3 x^{3} +3 x^{2} +6x+ x^{2} + x + 2$

Step 4. Gather like terms

$x^{4} + ( x^{3} + 3x^{3} ) + (2 x^{2} +3 x^{2} + x^{2} )+(6x+6)+2$

Step 5. Simplify and that's your answer 

$x^{4} +4 x^{3} + 6 x^{2} +7x+2$

Done! :)