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Identify which of the following is/are a quadratic polynomial

Question

Identify which of the following is/are a quadratic polynomial function:

f (x) = (x + 1)^{3} - (x + 2)^{3}

g (x) = \frac{x ^{4}}{x ^{2}}

h (x) = (x + 1)^{2} - (x + 2)^{2}

All of these

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Text solutionVerified

Option 1)

f (x) = (x + 1)^{3} - (x + 2)^{3}

= x^{3} + 1 + 3 x (x + 1) - x^{3} + 8 + 6 x (x + 2)

= x^{3} + 1 + 3 x^{2} + 3 x - x^{3} - 8 - 6 x^{2} - 12 x

The power of

x^{3}

cancels out and results in to quadratic equation.

Option 2) g(x) =

x^{2}

Option 3)

x^{2} + 1 + 2 x - x^{2} - 4 - 8 x

The power of

x^{2}

cancels out which doesn't result in to quadratic equation.

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Question Text	Identify which of the following is/are a quadratic polynomial function:
Answer Type	Text solution:1
Upvotes	150