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

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Solution

For this,

Polynomial to be subtracted is $15 x - 14$ .

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

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Similar questions

p (x) = 8 x^{4} + 14 x^{3} - 2 x^{2} + 8 x - 12

4 x^{2} + 3 x - 2

p (x)

8 x^{4} + 14 x^{3} - 2 x^{2} + 7 x - 8

4 x^{2} + 3 x - 2

8 x^{4} + 14 x^{2} + 7 x - 10

4 x^{2} + 3 x - 2

8 x^{4} + 14 x^{3} - 2 x^{2} + a x + b

4 x^{2} + 3 x - 2

8 x^{4} + 14 x^{3} - 2 x^{2} + a x + b

4 x^{2} + 3 x - 2

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