classify as poliynomial (i) 5x-2√2 (ii) 9-8u² (iii) 8-x³+2x² (iv) 7
Answers
Solution :-
i) Given polynomial is 5x-2√2
It consists of two terms
It is a binomial .
The degree of the polynomial = 1
It is a linear polynomial.
ii) Given polynomial is 9-8u²
= -8u²+9
It consists of two terms
It is a binomial .
The degree of the polynomial = 2
It is a quadratic polynomial
iii) Given polynomial is 8-x³+2x²
= -x³+2x²+8
It consists of three terms
It is a trinomial .
The degree of the polynomial = 3
It is a cubic polynomial.
iv)Given polynomial is 7
It consists of only one term
It is a monomial .
The degree of the polynomial = 0
It is a Constant polynomial.
Answer:
Question :-
➸ Classify as polynomial :-
(i) 5x - 2√2
(ii) 9 - 8u²
(iii) 8 - x³ + 2x²
(iv) 7
Solution :-
➳ It has two terms.
➳ So, it is binomial.
➳ Polynomial with degree 1.
➳ So, it is Linear Polynomial.
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By doing re-arrange we get,
➳ It has two terms.
➳ So, it is binomial.
➳ Polynomial with degree 2.
➳ So, it is Quadratic Polynomial.
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By doing re-arrange we get,
➳ It has three terms.
➳ So, it is trinomial.
➳ Polynomial with degree 3.
➳ So, it is Cubic Polynomial.
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➳ It has one terms.
➳ So, it is monomial.
➳ Polynomial with degree 0.
➳ So, it is Constant Polynomial.
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EXTRA INFORMATION :-
❒ Type Of Polynomial :-
Based on the number of terms in a polynomial, there are 3 types of polynomial :
★ Monomial :
- A polynomial whose having one terms is called Monomial.
- Example : 6, 10ab
★ Binomial :
- A polynomial whose having two terms is called Binomial.
- Example : 4x + 2, 9p + 2
★ Trinomial :
- A polynomial whose having three terms is called Trinomial.
- Example : 5x² + 6x - 10, 7a² + 8a + 4