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According to listing in the class IX book of NCERT the first axiom is. (a) Things which are equal to the same thing
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CBSE NCERT Solutions for Class 9 Mathematics Chapter 8
quadrilateral. Solution: The ratio of the angles = 3: 5: 9: 13. Let the angles be 3x
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CBSE NCERT Solutions for Class 9 Mathematics Chapter 2
Hence the degree of given polynomial is 2. (iii) Degree of polynomial is highest power of variable in the polynomial. Given polynomial is 5t ? ?7.
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CBSE NCERT Solutions for Class 9 Mathematics Chapter 6
Solution: In the figure it is given that ST is a straight line and QP ray stand on it. Therefore
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If the diagonals of a parallelogram are equal then show that it is a rectangle. Solution: ABCD is a parallelogram in which AC = BD in ?ABC and ?BCD.
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Class- XI-CBSE-Mathematics Polynomials
Practice more on
Polynomials
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CBSE NCERT Solutions for Class
9 Mathematics Chapter 2 Back of Chapter Questions
E xercise: 2.11.Which of the following expressions are polynomials in one variable and which are
not? State reasons for your answer. (i)4ݔ െ3x+ 7 (ii)y +ξ2(iii)3ξt+ tξ2 (iv)y + (v)ݔ + y + t So lution: (i)Given expression is a polynomialIt is of the form a
+ a୬ିଵݔ+ a
where a ,a ,...a a re constants. Hence given expression 4x െ3x+ 7 is a polynomial. (ii)Given expression is a polynomialIt is of the form a୬
x + a x x +a where a ,a ,...a ar e constants. Hence given expression y +ξ2 is a polynomial. (iii)Given expression is not a polynomial. It is not in the form of a୬ x + a 2 x +a w here a ,a ,...a all constants.Hence given expression
3ξt+ tξ2 is not a polynomial.(iv)Given expression is not a polynomial
y + 2 y = y+ 2. yIt is not of form
a x + a x , where a ,a ,...a are constants. Hence given expression y + is not a polynomial. (v)Given expression is a polynomial in three variables. It has three variables x,y,t.Class- XI-CBSE-Mathematics Polynomials
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Hence the given expression x
+ y + t is not a polynomial in one variable 2.Write the coefficients of x
in each of the following: (i) 2 +x + x (ii) 2െx + x (iii) 6 x + x (iv)ξ2xെ1
Solution:
(i)The constant multiplied with the term x
is called the coefficient of the xGiven polynomial is 2 +x
+ x.Hence, the coefficient of x
in given polynomial is equal to 1. (ii) The constant multiplied with the term x is called the coefficient of the xGiven polynomial is 2െx
+ xHence, the coefficient of x
in given polynomial is equal to െ1. (iii) The constant multiplied with the term x is called the coefficient of the xGiven polynomial is
x + x.Hence, the
coefficient of x in given polynomial is equal to (iv)The constant multiplied with the term x
is called the coefficient of the xGiven polynomial is ξ2xെ1.
In the given polynomial, there is no x
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