Question

please help me this question is a not solve from me class 9th chapter name polynomial ​​

Answer 1

(1).x^3-2x^2-x+2

And. x^3-2x^2-x+2

x^2(x-2)-1(x-2)

(x^2-1)(x-2)

(x^2-1^2)(x-2)

(x-1)(x+1)(x-2)

(2).x^3-3x^2-9x-5

And. x^3-3x^2-9x-5

x^3+x^2-4x^2-4x-5x-5

x^2(x+1)-4x(x+1)-5(x+1)

(x+1)(x^2-4x-5)

(x+1)(x^2-5x+x-5)

(x+1)[x(x-5)+1(x-5)]

(x+1)[(x+1)(x-5)]

(x+1)(x-5)(x+1)

(3).x^3+13x^2+32x+20

Ans. x^3+13x^2+32x+20

x^3+x^2+12x^2+12x+20x+20

x^2(x+1)+12x(x+1)+20(x+1)

(x+1)(x^2+12x+20)

(x+1)(x^2+10x+2x+20)

(x+1)[x(x+10)+2(x+10)]

(x+1)[(x+10)(x+2)]

(x+1)(x+10)(x+2)

(4).2y^3+y^2-2y-1

Ans. 2y^3+y^2-2y-1

y^2(2y+1)-1(2y+1)

(y^2-1)(2y+1)

(y^2-1^2)(2y+1)

(y+1)(y-1)(2y+1)