Find all the roots of the polynomial equation

x^3-2x^2+5x-10=0

Step-by-step explanation:

x^3+x^2+4x+4=0

x³+x²+4x=-4

x(x²+x+4)=-4

either

x=-4

or

x²+x+4=-4

x²+x+4+4=0

x²+x+8=0

comparing with ax² +bx+c

a=1

b=1

c=8

x={-1±√{1²-4×1×8}}/2×1

x={-1±√{-31}}/2

x³ - 2x² + 5x - 10 = 0

x²(x - 2) + 5(x - 2) = 0

(x² + 5)(x - 2) = 0

x² = - 5 , x = 2.

x² = -√5 , 2.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)