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Degree of a Polynomial

If a quadrati...

Question

If a quadratic polynomial f(x) is a square of a linear polynomial, then its two zeros are coincident. (True/False).

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Solution

The polynomial has two identical factors. The curve cuts X axis at two coincident points that is exactly at one point.

Hence, quadratic polynomial is a square of linear polynomial then its two zeros are coincident.

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

Q. State 'T' for true and 'F' for false.
I. If the square of the sum of the zeroes of a quadratic polynomial is 4 times the product of them, then the zeroes are equal in magnitude.
II. A quadratic polynomial, the sum of whose zeroes is 0 and one zero is 4, then the linear term of the polynomial doesn't exist.
III. If the sum of the zeroes of a cubic polynomial is 5 and the sum of the product of two zeroes is 8, then the sum of the square of the zeroes will be 10.
IV. If one of the roots of the polynomial f(x) =

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Q. Question 2 (iv)
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Degree of a Polynomial

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