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Quadratic Polynomials

If a quadrati...

Question

If a quadratic polynomial f(x) is not factorizable into linear factors, then it has no real zero. (True/False)

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Solution

When polynomial is not factorizable then the curve does not touch x-axis. Parabola open upwards above the x-axis or open downwards below x-axis where or

Hence, if quadratic polynomial is not factorizable into linear factors then it has no real zeros. .

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