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प्रश्न
If a quadratic polynomial f(x) is not factorizable into linear factors, then it has no real zero. (True/False)
उत्तर
When polynomial `f(x)=ax^2 + bx + c` is not factorizable then the curve `y = ax^2 + bx + c` does not touch x-axis. Parabola `y = ax^2 + bx + c`open upwards above the x-axis or open downwards below x-axis where `a > 0` or `a < 0`
Hence, if quadratic polynomial ` f (x)` is not factorizable into linear factors then it has no real zeros. True.
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