Any polynomial p(x) of degree n ≥ 1 may be expressed as?
- p(x) = (x - r)q(x)k
- p(x) = (x - r)q(x) + k
- p(x) = (x - r)q(x) - k
- p(x) = (x + r)q(x) + k
- None of these
Explanation
By the polynomial division algorithm, any polynomial can be expressed as:
p(x)=(x−r)q(x)+k
where is the quotient and is the remainder.
If is a root of , then , making completely factored.
Related MCQs
- Odd function
- Even function
- Constant symmetric form
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- Factoring the polynomial
- Finding the derivative
- Substituting the value of x
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- x = 2, −1/2
- x = 1, −2
- x = 3, −1
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- Commutative
- Associative
- Distributive
- None of these