Question

Find other zeroes of the polynomial p(x)=2x4 +7x3-19x2-14x +30 if two of its zeroes are √2 and -√2.

Answer 1

Step-by-step explanation:

p(x)=2x4=7x3-19x2-14x=30

zeros = root2'-/2

therefore (x-/2)(x+/2)

after dividing the quetient will be = 2x2+7x-15

sorry i couldnot divide and show

remainder =0

therefore , d x Q + R

(x2-2)(2x2+7x-15)

(x2-2){2x2+(10-3)x-15}

(2x2+10x-3x-15)

{2x(x+5)-3(x+5)}

(2x-3)(x+5)

(2x-3)=0

x=3/2

x+5=0

x=-5

therefore,theother zeros are = 3/2,-5