Fundamental Concepts of Algebra Class 6 RS Aggarwal Exe-12C Goyal Brothers ICSE Maths Solutions Ch-12. We provide step by step Solutions of polynomial for ICSE Class-6 Foundation RS Aggarwal of Goyal Brothers Prakashan . Visit official Website CISCE for detail information about ICSE Board Class-6 Mathematics.
Fundamental Concepts of Algebra Class 6 RS Aggarwal Exe-12C Goyal Brothers ICSE Maths Solutions Ch-12
| Board | ICSE |
| Subject | Maths |
| Class | 6th |
| Ch-12 | Fundamental Concepts of Algebra |
| Writer | RS Aggrawal |
| Book Name | Foundation |
| Exe-12C | Polynomial in one variable |
| Academic Session | 2024 – 2025 |
Polynomial
A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division
Degree of a Polynomial
defined as the highest exponent of a monomial within a polynomial. Thus, a polynomial equation having one variable which has the largest exponent is called a degree of the polynomial
Exercise- 12C
( Fundamental Concepts of Algebra Class 6 RS Aggarwal Exe-12C Goyal Brothers ICSE Maths Solutions Ch-12 )
Que-1: Which of the following algebraic expressions are polynomials? Write the degree of each such polynomial.
(i) 4x³-3x²+5x-2 (ii) (3x²/5)-(5x/4)+(2/3) (iii) (1x⁴/4)+2x³-x+7 (iv) x³+x²-x+(1/x)+5 (v) x^6 – 1 (vi) x²+(1/x²)-1 (vii) z-(1/z)+3 (viii) y³-4y+6 (ix) z²-(1/8)
Sol: (i) 3
(ii) 2
(iii) 4
(iv) Not a polynomial
(v) 6
(vi) Not a polynomial
(vii) Not a polynomial
(viii) 3
(ix) 2
Que-2: Write down the degree of each of the following polynomials :
(i) 2+x+3x² (ii) x-8 (iii) 6-5x+2x³ (iv) 4+y² (v) y-y³ (vi) z-z²+3z^5 (vii) m³-8 (viii) 3+2p+p²-6p⁴ (ix) 1-2t+t²-3t³+t⁴
Sol: (i) 2
(ii) 1
(iii) 3
(iv) 2
(v) 3
(vi) 5
(vii) 3
(viii) 4
(ix) 4
Que-3: Which of the following are polynomials? Write the degrees of each :
(i) m²-n²-mn (ii) x²+y²+z²-xy-yz-zx (iii) y²+z²-(2/y)+3z (iv) x+(1/y)+(2/z) (v) a²b+ab²-3ab (vi) x²+(1/x²)+4 (vii) (1/2)p²q²+(3/4)q²r²+(5/6) p²r² (viii) x+(1/x)
Sol: (i) 2
(ii) 2
(iii) Not a polynomial
(iv) Not a polynomial
(v) 3
(vi) Not a polynomial
(vii) 4
(viii) Not a polynomial
Que-4: Write down the degree of each of the following polynomials :
(i) x+2y-3z (ii) xy+yz+zx (iii) x²+xyz (iv) m²n+mn²+5mn-6 (v) p²q²+2pq²-p²q+1 (vi) m²n³+mn²+n⁴
Sol: (i) 1
(ii) 2
(iii) 3
(iv) 3
(v) 4
(vi) 5
Que-5: State true or false :
(i) 2-x³ is a polynomial of degree 3
(ii) (2/3)+(3x²/5)+x³ is not a polynomial
(iii) x+(1/x)+3 is a polynomial
(iv) xy-yz+zx is a polynomial in x,y,z of degree 2
(v) m²n+mn²+2mn-3n is a polynomial in m,n of degree 3
(vi) mn-(m/n)+5 is a polynomial in m and n.
Sol: (i) True
(ii) False
(iii) False
(iv) True
(v) True
(vi) False
–: End of Fundamental Concepts of Algebra Class 6 RS Aggarwal Exe-12C :–
Return to :- ICSE Class -6 RS Aggarwal Goyal Brothers Math Solutions
Thanks
Please share with yours friends if helpful
