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Kalij13
22.11.2019 •
Mathematics
find all roots: x^3 + 7x^2 + 12x = 0
show all work and check your answer.
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Ответ:
The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4
Solution:
We have been given a cubic polynomial.
We need to find the three roots of the given polynomial.
Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.
This gives us:
So, from the above eq1 we can find the first root of the polynomial, which will be:
x = 0
Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:
we have to use the quadratic equation to solve this polynomial. The quadratic formula is:
Now, a = 1, b = 7 and c = 12
By substituting the values of a,b and c in the quadratic equation we get;
Therefore, the two roots are:
And,
Hence, the three roots of the given cubic polynomial is 0, -3 and -4
Ответ:
ikr its so annoying
Step-by-step explanation: