Question

Perform Factoring By Grouping. Show your complete solution

2.) S^3 + s^2 + s +1
3.) (f + 3) (f – 1) + (f + 5) (f + 3)

Answer 1

Answer: 2. (s^2+1)(s+1)

3. 2(f+2)(f-3)

Explanation:

2. s^3+s^2+s+1=

s^2*s+s^2*1+1(s+1)=

s^2(s+1)+1(s+1)=(s^2+1)(s+1)

3. (f + 3) (f – 1) + (f + 5) (f + 3)=

f^2+2f-3+f^2+8f+15=

f^2+f^2+2f+8f-3+15=

2f^2+10f+12=

2(f^2+5f+6)=

2(f^2+2f+3f+6)=

2(f(f+2)-3(f+2))=2(f+2)(f-3)