Question

Obtain all the zeros of the polynomial 2x⁴ - 3x³-3x²+6x-2 if two of the zeros are 1 and 1/2

Answer 1

Answer:

Step-by-step explanation:

If two of the roots of the given polynomial f(x) = 2 x^(4) - 2 x^(3)- 7x^(2) + 3 x + 6 are ;

x = (+/-)sqrt(3/2) ==> x^(2) = 3/2 or(2x^(2) - 3) =0. Therefore f(x) can be written as ;

f(x) = (2 x^(2) - 3) (x^(2) - x - 2) = 0 or

= (2 x^(2) - 3) (x - 2)(x + 1) . So other two roots(zeros) are 2 & - 1