question_answer

What must be subtracted from \[p(x)=8{{x}^{4}}+14{{x}^{3}}-2{{x}^{2}}+8x-12\] so that \[4{{x}^{2}}+3x-2\]  is factor of \[p(x)\]? This question was given to group of students for working together. Do you think teacher should promote group work?

Answer:

For this,

Polynomial to be subtracted is \[(15x-14)\].

Value: Yes, as it increases confidence and team spirit among students.