# write equation for polynomial

Write an equation for a polynomial that has the solution set {-1 , 3, 4}

[email_link] http://solvemaths.in/write-equation-for-polynomial/AptitudeArithmeticWrite an equation for a polynomial that has the solution set {-1 , 3, 4}

Rajni
Sahsah.rajni@yahoo.comAdministratorSOLVE - ΜΔΓΗŠ
Solution set = {-1, 3, 4}

i.e. x= -1 (or) x= 3 (or) x= 4

we can re-write it as, (x+1) = 0; (x-3) = 0; (x-4) = 0

=> (x+1)(x-3)(x-4) = 0 is the equation.

Expand the eqn;

(x^2 -2x -3)(x-4) = 0

or, x^3 -4x^2 -2x^2 + 8x -3x + 12 = 0

or, x^3 – 6x^2 + 5x + 12 = 0