Find all rational zeros of the polynomial Px 2x4 7x3 13x2

Find all rational zeros of the polynomial P(x) = 2x^4 + 7x^3 - 13x^2 + 7x - 15 Its rational zeros are x_1 =, x_2 =, x_3 = and x_4 = with x_1 lessthanorequalto x_2 lessthanorequalto x_3 lessthanorequalto x_4 If the polynomial has only three rational zeros, input them at x_1, x_2 and x_3: If the polynomial has only two rational zeros, input them at x_1 and x_2; if the polynomial has only one rational zero, input it at x_1.

Solution

P(x)=2x⁴+7x³-13x²+7x -15

P(x)=(2x-3)(x+5)(x²+1)

For zeroes

P(x)=0

2x-3=0 , x+5=0, x²+1=0

x=3/2 , -5

x₁=-5 , x₂=3/2