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