Use synthetic division to determine which of the following are the real zeroes of the function f(x) = 3x^3 + 10x^2 + 4x - 8
2 answers:
Answer : option B
We have -2 in the given option
Lets use synthetic division and divide by -2
First write the coefficient of all the terms in f(x)
-2 3 10 4 -8
0 -6 -8 8
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3 4 -4 0
We got remainder =0 , so -2 is one of the zero
Resultant expression is 3x^2 + 4x -4
Lets use synthetic division and divide by -2 again
-2 3 4 -4
0 -6 4
------------------------------------------------------
3 -2 0
We got remainder =0 , so -2 is again a zero
Resultant expression is 3x - 2
we set 3x -2 =0
Add 2 on both sides
3x = 2
Divide by 3 on both sides
So zeros are
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