A4 B5 A polynomial P is given Px x3 3x2 28x 60 a Find all th

A)4

B)5

A polynomial P is given P(x) -x3 3x2 28x 60 (a) Find all the real zeros of P. (Enter your answers as a comma-separated list. Enter a answers including repetitions

Solution

P(x)=-x³-3x²+28x+60

P(x)=-(x+2)(x²+x-30)

P(x)=-(x+2)(x-5)(x+6)

P(x)=0

-(x+2)(x-5)(x+6)=0

x=-2,5,-6

5. P(x)=4x⁵-10x⁴-14x³+49x²-28x+4

P(x)=(x-2)²(2x-1)(2x²+4x-1)

P(x)=0

x=2 , 1/2 , -1-sqrt(3/2) , sqrt(3/2) -1