## RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.1

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.1

Other Exercises

Question 1.
Write the degree of each of the following polynomials :
(i) 2x3+5x2-7
(ii) 5x2
3x +7 ’
(iii) 2x + x2
-8
(iv) $$\frac { 1 }{ 2 }$$
y7 -12y5 + 48y6 – 10
(v) 3x3 + 1

(vi) 5
(vii) 20x3 + 12x2y2– 10y2 + 20
Solution:
(i) 2x3 + 5x2-7: The degree of this polynomial is 3.
(ii) 5x2 – 3x + 2 : The degree of this polynomial is 2.
(iii) 2x + x2 – 8 : The degree of this polynomial is 2.
(iv) $$\frac { 1 }{ 2 }$$ y7 – 12y6 + 48y5 – 10 : The degree of this polynomial is 7.
(v) 3x3 + 1 : The degree of this polynomial is 3.
(vi) 5 : The degree of this polynomial is 0 as it is only constant term
(vii) 20x3 + 12x2y2 – 10y2 + 20: The degree of this polynomial is 2 + 2 = 4.

Question 2.
Which of the following expressions are not polynomials :
(i) x2 + 2x2
(ii) √a x + x2-x3
(iii) 3y3 – √5y + 9

(iv) ax1/2 + ax + 9x2 + 4
(v) 3x2 + 2x-1 + 4x + 5
Solution:
(i) x2 + 2x-2 = x2 + 2x $$\frac { 1 }{ { x }^{ 2 } }$$ =x2 + $$\frac { 1 }{ { x }^{ 2 } }$$
: It is not xx polynomial as it has negative integral power.
(ii) √ax + x2 – x3: It is polynomial.
(iii) 3y3  √5y + 9 : It is a polynomial.
(iv) ax1/2+ ax + 9x2 + 4: It is not a polynomial as  the degree of $$\frac { 1 }{ { x }^{ 2 } }$$ is an integer.
(v) 3x2 + 2x-1 + 4x + 5 : It is not a polynomial as the degree of x2, x-1 are negative.

Question 3.
Write each of the following polynomials in the standard form. Also write their degree.
(i) x2 + 3 + 6x + 5x4
(ii) a1 + 4 + 5a6
(iii) (x3 – 1) (x3 – 4)

(iv) (y3 – 2) (y3 + 11)
(v) $$\left( { a }^{ 3 }-\frac { 3 }{ 8 } \right)$$ $$\left( { a }^{ 3 }-\frac { 16 }{ 17 } \right)$$
(vi) $$\left( { a }+\frac { 3 }{ 4 } \right)$$ $$\left( { a }+\frac { 3 }{ 4 } \right)$$
Solution:
Polynomial in standard form is the polynomial in ascending order or descending order.

Hope given RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.1 are helpful to complete your math homework.

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