find all the zeros of the polynomial x cube +5x square-2x-10,if two of its zeros are √2 and-√2
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x = √2, -√2, -5
Step-by-step explanation:
p(x) = x³+5x²-2x-10
Always remember that number of zeroes for a polynomial is always equal to its degree.
Here, degree = 3. So, there will be 3 zeroes to this polynomial.
Factorize x³+5x²-2x-10,
=> x²(x+5)-2(x+5) = (x²-2)(x+5)
=> (x+√2)(x-√2)(x+5)
For, (x+√2)(x-√2)(x+5) = 0
x = √2, -√2, -5
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