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Find the degrees of the following polynomials.
a) $2xyz$
b) $5a^2bc$
c) $3y^2 – 4y + 8$
d) $7x^5 – 2x^4 + 5x^3 – 7x^2 – 3x$
e) $x^2 + y^2 + z^2 – 3xyz$
f) $x^3y^3 – 2x^2y^2 + 7xy – 5$
Let’s answer the following questions.
a) Why is $frac{x^2}{2}$ a polynomial but $frac{2}{x^2}$ is not a polynomial?
b) Why is $sqrt{2x}$ not a polynomial but $sqrt{2}x$ is a polynomial?
c) Define the degree of a polynomial with examples.
Let’s say and write the degrees of these polynomials.
a) $3x$ …………………
b) $2p^2$ …………………
c) $4a^2b$ …………………
d) $7y – 1$ …………………
e) $2x^3 – 3x^2 + 6$ …………………
f) $9xy – 7x + 2y$ …………………
Let’s say and write the values of the expressions as quickly as possible.
a) If $l = 4$ and $b = 3$, then (i) $l times b =$ …….. (ii) $2(l + b) =$ ……..
b) If $l = 5$, then (i) $l^2 =$ …….. (ii) $l^3 =$ …….. (iii) $6l^2 =$ ……..
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Let’s say and write the polynomial expressions in the table. a) $2x + 3$
b) $3y^2 – 2y + 4$
c) $a + frac{1}{a}$
d) $sqrt{5x} + 1$
e) $frac{x^2}{2} – 3x + 7$
f) $sqrt{x + 2} – 3$
World consumption of energy is given below:
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Natural gas – 20 %
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Nuclear – 5 %
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Coal – 25 %
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Hydroelectric – 10 %
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Oil – 40 %
Represent the above data in a pie chart.
Represent the following data in a pie chart. Monthly expenditure of a family.
| Item | Education | House rent | Food | Others |
| Amount (Rs) | 8000 | 4000 | 10000 | 14000 |
Mr. Limbu’s spends Rs 10,800 in a month. His monthly expenditure on different headings are given below:
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Food – Rs 2,400
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Education – Rs 3,600
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Rent – Rs 4,200
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Miscellaneous – Rs 600
Show the above data in a pie chart.
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The monthly budget of a family is given below.
Food – Rs 2100
Clothing – Rs 3300
Miscellaneous – Rs 2250
Saving – Rs 3150
Represent the above data in a pie chart.
The given pie-chart shows the income of a family from three different sources. Answer the following questions.
(Pie Chart Data: Farming = 180°, Business = 120°, Services = 60°)
a) How many degrees represent the total income of the family?
b) From which source does the family have maximum income?
c) From which source does the family have minimum income?
d) If the annual income of the family is Rs 4,50,000, how much is the income from farming?
