Classify the following polynomials based on number of terms. S.No. Polynomial No of Terms Type of polynomial based of terms (i) 5 t 3 + 6 t + 8 t 2 3 Terms (ii) y - 7 2 Terms (iii) 2 3 r 4 1 Term (iv) 6 y 5 + 3 y - 7 3 Term (v) 8 m 2 + 7 m 2 Like Terms. So, it is 15 m 2 which is 1 term only

Given, S.No. Polynomial No of Terms Type of polynomial based of terms (i) 5 t 3 + 6 t + 8 t 2 3 Terms (ii) y - 7 2 Terms (iii) 2 3 r 4 1 Term (iv) 6 y 5 + 3 y - 7 3 Term (v) 8 m 2 + 7 m 2 Like Terms. So, it is 15 m 2 which is 1 term only An algebraic expression that contains only one term is called as monomial. An algebraic expression that contains two terms is known as binomial. An algebraic expression containing three terms is known as trinomial. S.No. Polynomial No of Terms Type of polynomial based of terms (i) 5 t 3 + 6 t + 8 t 2 3 Terms Trinomial (ii) y - 7 2 Terms Binomial (iii) 2 3 r 4 1 Term Monomial (iv) 6 y 5 + 3 y - 7 3 Term Trinomial (v) 8 m 2 + 7 m 2 Like Terms. So, it is 15 m 2 which is 1 term only Monomial

Classify the following polynomials based on their degree S.No. Polynomial Degree Type (i) 4 3 z + 7 (ii) z 3 - z 2 + 3 (iii) 7 (iv) y 2 - 8

A polynomial’s degree is the highest power of a variable or highest exponential power in a given polynomial equation A polynomial of degree 1 is known as a linear polynomial. A polynomial of degree 2 is called a quadratic polynomial. A polynomial of degree 3 is known as a cubic polynomial. S.No. Polynomial Degree Type (i) 4 3 z + 7 Degree one Linear polynomial (ii) z 3 - z 2 + 3 Degree three Cubic polynomial (iii) 7 Degree zero Constant polynomial (iv) y 2 - 8 Degree two Quadratic polynomial

E M B I B E

Mathematics Standard 9>Chapter 3 - Algebra>Exercise>Q 26

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IMPORTANT

Earn 100

A pair of linear equations has no solution then the graphical representation is

50% studentsanswered this correctly

Important Questions on Algebra

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IMPORTANT

Mathematics Standard 9>Chapter 3 - Algebra>Exercise>Q 27

Choose the correct solution(s) for the linear pair of equations

a_{1} x + b_{1} y + c_{1} = 0

and

a_{2} x + b_{2} y + c_{2} = 0

such that

\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}

.

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IMPORTANT

Mathematics Standard 9>Chapter 3 - Algebra>Exercise>Q 28

Choose the correct solution(s) for the pair of linear equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ such that $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$ .

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IMPORTANT

Mathematics Standard 9>Chapter 3 - Algebra>Exercise>Q 29

GCD

of any two prime numbers is _____.

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IMPORTANT

Mathematics Standard 9>Chapter 3 - Algebra>Exercise>Q 30

The GCD of

x^{4} - y^{4}

and

x^{2} - y^{2}

is

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IMPORTANT

Mathematics Standard 9>Chapter 3 - Algebra>Solved Example>Q 1

Find the degree of each term for the following polynomial and also find the degree of the polynomial

6 a b^{8} + 5 a^{2} b^{3} c^{2} - 7 a b + 4 b^{2} c + 2

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IMPORTANT

Mathematics Standard 9>Chapter 3 - Algebra>Solved Example>Q 2

Classify the following polynomials based on number of terms.

S.No.	Polynomial	No of Terms	Type of polynomial based of terms
(i)	$5 t^{3} + 6 t + 8 t^{2}$	$3$ Terms
(ii)	$y - 7$	$2$ Terms
(iii)	$\frac{2}{3} r^{4}$	$1$ Term
(iv)	$6 y^{5} + 3 y - 7$	$3$ Term
(v)	$8 m^{2} + 7 m^{2}$	Like Terms. So, it is $15 m^{2}$ which is $1$ term only