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Find the zeros of polynomial f (x) =xcube - 2x?
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Find the zeros of polynomial f (x) =xcube - 2x?
Find the zeros of polynomial f(x) = x³ - 2x
There are two steps to find the zeros of a polynomial function: factoring and solving the equation.
Step 1: Factor the polynomial
To factor the polynomial f(x) = x³ - 2x, we can factor out an x from each term:
f(x) = x(x² - 2)
Step 2: Solve for x
Now that we have factored the polynomial, we can set each factor equal to zero and solve for x:
x = 0
x² - 2 = 0
For x = 0, the zero is straightforward. However, for x² - 2 = 0, we can solve for x by adding 2 to both sides and then taking the square root:
x² = 2
x = ±√2
Therefore, the zeros of the polynomial f(x) = x³ - 2x are x = 0, x = √2, and x = -√2.
There are two steps to find the zeros of a polynomial function: factoring and solving the equation.
Step 1: Factor the polynomial
To factor the polynomial f(x) = x³ - 2x, we can factor out an x from each term:
f(x) = x(x² - 2)
Step 2: Solve for x
Now that we have factored the polynomial, we can set each factor equal to zero and solve for x:
x = 0
x² - 2 = 0
For x = 0, the zero is straightforward. However, for x² - 2 = 0, we can solve for x by adding 2 to both sides and then taking the square root:
x² = 2
x = ±√2
Therefore, the zeros of the polynomial f(x) = x³ - 2x are x = 0, x = √2, and x = -√2.
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Find the zeros of polynomial f (x) =xcube - 2x?
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Find the zeros of polynomial f (x) =xcube - 2x? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the zeros of polynomial f (x) =xcube - 2x? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the zeros of polynomial f (x) =xcube - 2x?.
Find the zeros of polynomial f (x) =xcube - 2x? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the zeros of polynomial f (x) =xcube - 2x? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the zeros of polynomial f (x) =xcube - 2x?.
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