Give one example each of a binomial of degree 35, and of a monomial of degree 100.
Solution and Explanation
Degree of a polynomial is the highest power of the variable in the polynomial.
Binomial has two terms in it.
Therefore, binomial of degree 35 can be written as x35 + x34. Monomial has only one term in it.
Therefore, monomial of degree 100 can be written as x 100 .
Top Questions on Polynomials in One Variable
- Factorise: 27x3+y3+z3–9xy.
- CBSE Class IX
- Mathematics
- Polynomials in One Variable
Write the coefficients of x 2 in each of the following:
(i) 2 + x 2 + x
(ii) 2 – x 2 + x 3
(iii) \(\frac{π }{ 2}\) x2 + x
(iv) √2 x -1
- CBSE Class IX
- Mathematics
- Polynomials in One Variable
Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.
(i) 4x 2 – 3x + 7
(ii) y 2 + √2
(iii) 3 √t + t√2
(iv) y +\(\frac{ 2 }{ y} \)
(v) x 10 + y 3 + t 50
- Mathematics
- Polynomials in One Variable
What are the possible expressions for the dimensions of the cuboids whose volumes are given below?
(i) Volume : 3x 2 – 12x
(ii) Volume : 12ky2 + 8ky – 20k
- CBSE Class IX
- Mathematics
- Polynomials in One Variable
Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:
(i) Area : 25a 2 – 35a + 12
(ii) Area : 35y 2 + 13y –12
- CBSE Class IX
- Mathematics
- Polynomials in One Variable
Questions Asked in CBSE Class IX exam
- The author speaks both of people who were very aware of the differences among them and those who tried to bridge these differences. Can you identify such people in the text?
- CBSE Class IX
- My childhood
- Explain what the reasons for the following are.
(i) Einstein leaving the school in Munich for good.
(ii) Einstein wanting to study in Switzerland rather than in Munich.
(iii) Einstein seeing in Mileva an ally.
(iv) What do these tell you about Einstein?- CBSE Class IX
- A truly beautiful mind
- (i) The kind of person the doctor is (money, possessions)
(ii) The kind of person he wants to be (appearance, ambition)- CBSE Class IX
- The snake and the mirror
In Fig. 9.26, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠ BEC = 130° and ∠ ECD = 20°. Find ∠ BAC.
- CBSE Class IX
- Angle Subtended by an Arc of a Circle
- Name the two temples the author visited in Kathmandu.
- CBSE Class IX
- Kathmandu