Maths Book back answers and solution for Exercise questions - (Greatest Common Divisor (GCD) or Highest Common Factor (HCF) of Polynomials, Least Common Multiple (LCM) of Polynomials)

1. Find the GCD of the given polynomials

(i) *x* 4 + 3*x* 3 − *x* − 3, *x* 3 + *x* 2 − 5*x* + 3

(ii) *x* 4 -1 , *x* 3 − 11*x* 2 + *x* −11

(iii) 3*x* 4 + 6*x* 3 −12*x* 2 − 24*x*, 4*x* 4 + 14*x* 3 + 8*x* 2 − 8*x*

(iv) 3*x* 3 + 3*x* 2 + 3*x* + 3 , 6*x* 3 + 12*x* 2 + 6*x* + 12

2. Find the LCM of the given expressions.

(i) 4*x* 2*y*, 8*x* 3*y*2

(ii) -9*a* 3*b*2, 12*a* 2*b*2*c*

(iii) 16*m*, -12*m* 2*n*2, 8*n*2

(iv) *p* 2 − 3 *p* + 2, *p*2 – 4

(v) 2*x* 2 - 5*x* - 3, 4*x* 2 – 36

(vi) (2*x* 2 - 3*xy*)2, (4*x* - 6*y*)3, 8*x* 3 - 27*y*3

1.(i) *x *2* *+ 2*x *–* *3 (ii) *x* 2+ 1 (iii)* x *(*x *2* *+* *4*x *+* *4) (iv) 3(*x* 2+ 1)

2.(i) 8*x* 3*y*2 (ii) –36*a*3*b*2*c *(iii) -48*m* 2*n*2

(iv) ( *p* − 1) ( *p* − 2)( *p* + 2) (v) 4(*x* + 3)(2*x* + 1) (*x* - 3)

(vi) 2 3 *x* 2 (2*x* − 3*y* )3 (4*x* 2+ 6*xy* + 9*y*2 )

Tags : Problem Questions with Answer, Solution | Mathematics , 10th Mathematics : UNIT 3 : Algebra

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10th Mathematics : UNIT 3 : Algebra : Exercise 3.2: GCD and LCM of Polynomials | Problem Questions with Answer, Solution | Mathematics

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