Consider the polynomial 2x^{3}-3x^{2}+x^{5} Which of the following statements about the polynomial are not correct?

Dillard

Dillard

Answered question

2021-08-06

Consider the polynomial 2x33x2+x5 Which of the following statements about the polynomial are not correct?
a) The standard form of the polynomial is x5+2x33x2.
b) The polynomial is a trinomial.
c) The polynomial is quintic.
d) The polynomial has a linear term.

Answer & Explanation

liannemdh

liannemdh

Skilled2021-08-07Added 106 answers

Step 1
a) Standard form of polynomial is written with highest degree term as first term, second highest degree term as second term and so on.
For the given polynomial, the standard form is:
x5+2x33x2
b) Trinomial is a type of polynomial which has 3 terms.
The given polynomial is a trinomial as it has 3 terms, i.e.,
x51stterm
2x32ndterm
3x23rdterm
Step 2
c) The polynomials having degree 5th are known as quintic polynomials.
Since, the polynomial x5+2x33x2 have degree =5
Hence, it is quintic polynomial.
d) Linear term is term which have degree =1
Since, the polynomial x5+2x33x2 has no term having 5th degree, hence the statement is not correct.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-07-06Added 2605 answers

Answer is given below (on video)

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