Question

find all the zeros of the polynomial 2x^4-10x^3+5x^2+15x-12 if it is given that two of its zeroes are root 3/2 and root -3/2

Answer 1

(x-3/2)(x+3/2)=x^2-9/4
divide p(x) by x^2-9/2
after that factorise the quotient By splitting the middle term

Answer 2

Answer:

x=9

Step-by-step explanation

cross multiply (10x^2+15x+63) with (x-5)________ I

cross multiply (5x^2-25x+12) with(2x+3)________II

=> 10x^3 -50x^2 +15x^2 -75x +63x -315 = 10x^3 +15x^2 -50x^2 - 75x +24x +36

=> cut [(10x^3) (-50x^2) (15x^2) (-75x)]

=> 63x-315=24x+36

=> 63x-24x=315+36

=> 39x=351

=> divied (39x=351) with (3)

=> 13x=117

=> x=9