Krishna Learning website is providing the solution of RS Aggarwal class 9 chapter 2 Polynomial. This chapter Polynomial class 9 will help you to revise the polynomial. This is RS Aggarwal Class 9 Chapter 2 Polynomial Exercise 2A. It is a best solution of polynomial class 9. If you have any doubt related to chapter polynomial, you can ask in the comment box.
Exercise 2A
which of the subsequent expressions ar polynomials? just in case of a polynomial, write their degree.
χ^5-〖2χ〗^3+χ+√3
Answer. it's associate degree expression having non-negative integral
Power of x. conjointly the very best power of x is five.
It is a Polynomial of degree five.
y^3+√3y
Answer. it's associate degree expression having non-negative integral
Power of y. conjointly the very best power of y is three.
It is a Polynomial of degree three.
t^2-2/5 t+√(5 )
Answer. it's associate degree expression having non-negative integral
Power of t. conjointly the very best power of t is two.
It is a Polynomial of degree two.
x^100-1
Answer. it's associate degree expression having non-negative integral
Power of x. conjointly the very best power of x is a hundred.
It is a Polynomial of degree a hundred.
1/√2 x^2-√2x+2
Answer. it's associate degree expression having non-negative integral
Power of x. conjointly the very best power of x is two.
It is Polynomial of degree two.
x^(-2)+2x^(-1)+3
Answer. it's not a polynomial. Since, it's a negative polynomial.
1
Answer. it's a relentless polynomial of degree zero.
(-3)/5
Answer. it's a relentless polynomial of degree zero.
x^2/2-2/x^2
Answer. x^2/2-2/x^2 =1/2 x^2-〖2x〗^(-2) it's not a polynomial. Since, it's a negative power.
√(3&2)x^2-8
Answer. it's associate degree expression with non-negative integral
Power of x is two. it's a polynomial of degree two.
1/〖2x〗^2
Answer. it's not a polynomial.
1/√5 x^(1/2)+1
Answer. it's associate degree expression of x, however the ability of x is in Fraction. Since, it's associate degree expression having aliquot of x. So, it's not a polynomial.
3/5 x^2-7/3 x+9
Answer. it's associate degree expression with non-negative integral power of x, having a highest power of x is two.
It is a polynomial of degree two.
x^4-x^(3/2)+x-3
Answer. it's associate degree expression of x, however the ability of x is in Fraction. Since, it's associate degree expression having aliquot of x. So, it's not a polynomial.
〖2x〗^3+〖2x〗^3+√x-1
Answer. it's associate degree expression of x, however the ability of x is in Fraction. Since, it's associate degree expression having aliquot of x. So, it's not a polynomial.
determine constant, linear, quadratic, cubic and biquadratic polynomials type the subsequent.
-7+x
Answer. it's linear polynomial. [Polynomial of degree 1]
6y
Answer. it's linear polynomial. [Polynomial of degree 1]
〖-z〗^3
Answer. it's cubic polynomial. [Polynomial of degree 3]
1-y-y^3
Answer. it's cubic polynomial. [Polynomial of degree 3]
x-x^3+x^4
Answer. it's polynomial. [Polynomial of degree 4]
1+x+x^2
Answer. it's polynomial. [Polynomial of degree 2]
〖-6x〗^2
Answer. it's polynomial. [Polynomial of degree 2]
–13
Answer. it's constant polynomial. [Polynomial of degree 0]
-p
Answer. it's linear polynomial. [Polynomial of degree 1]
Write
The constant of x^3 in x+3x^2-〖5x〗^3+x^4
Answer. –5
The constant of x in √3-2√2+〖6x〗^2
Answer. -2√2
The constant of x^2 in 2x-3+x^3
Answer. 0
The constant of x in 3/8 x^2-2/7 x+1/6
Answer. -2/7
The constant term in π/2 x^2+7x-2/5 π
Answer. -2/5 π
confirm the degree of every of the subsequent polynomials.
(4x-5x^2+〖6x〗^3)/2x
Answer. two-5/2 x+〖3x〗^2 [Degree of the polynomial is 2.]
y^2 (y-y^3 )
Answer. y^3-y^5 [Degree of the polynomial is 5]
(3x-2)(〖2x〗^3+〖3x〗^2)
Answer. =〖6x〗^4+〖9x〗^3-〖4x〗^3-〖6x〗^2
=〖6x〗^4+〖5x〗^3-〖6x〗^2
[Degree of the polynomial is 4]
-1/2 x+3
Answer. [Degree of the polynomial is 1]
-8
Answer. [Degree of the polynomial is 0]
x^(-2) (x^4+x^2)
Answer. x^2+x^0=x^2+1
[Degree of the polynomial is 2]
.
provide associate degree example of a monomial of degree five.
Answer. 〖2x〗^5
provide associate degree example of a binomial of degree eight.
Answer. x+x^8
provide associate degree example of a trinomial of degree four.
Answer. x^4+x^3+x
provide associate degree example of a monomial of degree zero.
Answer. 5
Rewrite every of the subsequent polynomials in commonplace type.
x-〖2x〗^2+8+〖5x〗^3
Answer. 〖5x〗^3-〖2x〗^2+x+8
2/3+〖4y〗^2-3y+〖2y〗^3
Answer. 〖2y〗^3+〖4y〗^2-3y+2/3
〖6x〗^3+2x-x^5-〖3x〗^2
Answer. -x^5+〖6x〗^3-〖3x〗^2+2x
2+t-〖3t〗^3+t^4-t^2
Answer. t^4-〖3t〗^3-t^2+t+2
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