Respuesta :
Answer:
- B. [tex]p^2+p-11[/tex].
Step-by-step explanation:
Step 1:
- [tex]((((3+(4*(p^2)))-5p)-3p^2)+4p)+8[/tex]
Step 2:
- [tex]((((3 + 22p^2) - 5p) - 3p^2) + 4p) + 8[/tex]
Step 3:
- Factoring [tex]p^2-p+11[/tex]
- The first term is, [tex]p^2[/tex] its coefficient is 1 .
- The middle term is, -p its coefficient is -1 .
- The last term, "the constant", is +11
- Step-1 : Multiply the coefficient of the first term by the constant 1 • 11 = 11
- Step-2 : Find two factors of 11 whose sum equals the coefficient of the middle term, which is -1 .
- -11 + -1 = -12
- -1 + -11 = -12
- 1 + 11 = 12
- 11 + 1 = 12
- Observation : No two such factors can be found !!
- Conclusion : Trinomial can not be factored
Final Solution:
- [tex]p^2 + p - 11[/tex]