Find all zeros of the polynomial p(x) = x3 − 2x2 − 3x + 10. express any non-real roots in the form a + bi.
a. -1,2 + i, 2-i
b. -2,2 + i, 2-i
c. -2, 3 + i, 3-i
d. -3,3 + i, 3-i

-2 , 2+i,2-i

Step-by-step explanation:

Putting P(x) = 0

Let us now factorize the above equation

First we will keep different random values of x in above equation and see for which value of x, P(x) becomes 0. We will start from x=1, x=-1 , x=2 , x=-2 and so on .

When we will do that we will find that for x = -2 , P(x) becomes 0

hence x+2 is one of factor of the polynomial . In order to factorize P(x) , we divide our polynomial by ( x+2) and find the quotient

we get

Now we factorize the quadratic polynomial above using quadratic formula which is

here

a = 1 , b = 4 and c = 5

putting these values in above formula we get

x= 2+i and 2-i

Hence the three roots we have are

x=-2 , 2-i and 2+i

,xzgv

step-by-step explanation:

; oqirjg'

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