Search
Ask a question
0 0

Evaluate P(x) = x4 + 3x2 + 2 by substituting any value for x that has not been used already in this discussion.

Evaluate P(x) = x4 + 3x2 + 2 by substituting any value for x that has not been used already in this discussion.

Comments

Bob - 

"in this discussion" - Is there more information that you can add to this problem? 

None that I am aware of. Substitution of  polynominal expressions, that's all that is asked.

 

Bob

Tutors, please sign in to answer this question.

1 Answer

May be this one will help you.
P(x) = x4 +3x2 + 2
Let's substitute x2 by z (it can be any letter)
z = x2
Then
P(z) = z2 + 3z + 2 = (z + 1)(z + 2). In the term of x, given function will be
P(x) = (x2 + 1)(x2 + 2) That's all we can do in the set of real numbers
P(x) = (x - i)(x + i)(x - i√2)(x + i√2) - in the set of complex numbers (i2 = -1)