Home
Class 10
MATHS
गुणनखंड प्रमेय लागू करके बताइए कि निम्नल...

गुणनखंड प्रमेय लागू करके बताइए कि निम्नलिखित स्थितियों में से प्रत्येक स्थिति में g(x), p(x) का एक गुणनखंड है या नहीं :
(i) `p(x)=2x^(3)+x^(2)-2x-1, g(x)=x+1`
(ii) `p(x)=x^(3)+3x^(2)+3x+1, g(x)=x+2`
(iii) `p(x)=x^(3) -4x^(2)+x+6, g(x)=x-3`

Promotional Banner

Similar Questions

Explore conceptually related problems

Divide p(x)=x^3+3x^2+3x+1 by g(x)=x+2

divide p(x)=x^3+3x^2+3x+1 by g(x)= x+2

Divide p(x) by q(x) p(x)=2x^(2)+3x+1,g(x)=x+2

Use the factor theorem, to determine whether g(x) is a factor of p(x) in each of the following cases : (i) p(x)=2x^(3)+x^(2)-2x-1,g(x)=x+1 (ii) p(x)=x^(3)+3x^(2)+3x+1,g(x)=x+2 (iii) p(x)=x^(3)-4x^(2)+x+6,g(x)=x-3

check whether p(x) is a multiple of g(x) or not (i) p(x) =x^(3)-5x^(2)+4x-3,g(x) =x-2. (ii) p(x) =2x^(3)-11x^(2)-4x+5,g(x)=2x+1

check whether p(x) is a multiple of g(x) or not (i) p(x) =x^(3)-5x^(2)+4x-3,g(x) =x-2. (ii) p(x) =2x^(3)-11x^(2)-4x+5,g(x)=2x+1

By remainder theorem , find the remainder when p(x) is divided by g(x) where , (i) p(x) =x^(3) -2x^2 -4x -1 ,g(x) =x+1 (ii) p(x) =4x^(3) -12x^(2) +14x -3,g(x) =2x-1 (iii) p(x) =x^(3) -3x^(2) +4x +50 ,g(x) =x-3

Divide P(x)=x^6+3x^2+10 by g(x)=x^3+1

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x)=2x^3+x^2-2x-1,g(x)=x+1 (ii) p(x)=x^3+3x^2+3x+1,g(x)=x+2 (iii) p(x)=x^3+4x^2+x+6,g(x)=x-3

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x)=2x^3+x^2-2x-1,g(x)=x+1 (ii) p(x)=x^3+3x^2+3x+1,g(x)=x+2 (iii) p(x)=x^3+4x^2+x+6,g(x)=x-3