Consider the polynomial 2x^{3}-3x^{2}+x^{5}. Which of the following statements about the polynomial are not correct? A. The standard form of the polynomial is x^{5}+2x^{3}-3x^{2}. B. The polynomial is a trinomial. C. The polynomial is quintic. D. The polynomial has a linear term.

generals336

generals336

Answered question

2021-08-08

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

Demi-Leigh Barrera

Demi-Leigh Barrera

Skilled2021-08-09Added 97 answers

Step 1 A. Standard form of polynomial-
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
Step 2 B. Check whether correct or not-
Trinomial is a type of polynomial which has 3 terms.
The given polynomial is a trinomial as it has 3 terms, i.e.,
x51st term
2x32nd term
3x23rd term
Step 3 C. Quintic polynomial-
The polynomials having degree 5th are known as quintic polynomials.
Since, the polynomial x5+2x33x2 have degree =5
Hence, it is quintic polynomial.
Step 4 D. Linear term-
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.

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