1. To solve this problem you must apply the proccedure shown below:
2. When you multiply two polynomials, you must apply the distributive property and multiply the coefficients and add the exponents. For example:(x)(4x^2)
The coefficients of both terms are 1 and 4 and the sum of the exponents is 3 (1+2=3):
(x)(4x^2)=4x^3
3. Therefore, when multiply the polynomials (x+1)(4x^2+7x+6), you can see that the correct answer for this question is the option C, which is:
C. 4x³+11x²+13x+6