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Maths True False[1 Marks ]

Polynomials · Jharkhand Board (JAC) STD 10 (Jharkhand - English Medium). 4 questions.

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True False[1 Marks ]

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4 questions · timed · auto-graded

Question 11 Mark
If a quadratic polynomial f(x) is not factorizable into linear factors, then it has no real zero. (True/ False).
Answer
True.
Solution:
A quadratic polynomial f(x) is not factorized into linear factors It has no real zeros It is true.
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Question 21 Mark
If a quadratic polynomial f(x) is a square of a linear polynomial, then its two zeros are coincident.(True/ False).
Answer
True.Solution:
The polynomial $h f(x)=x^2=(x-0)(x-0)$ has two identical factors. The curve $y=x^2$ cuts $X$-axis at two coincident points that is exactly at one point.
Hence, quadratic polynomial $f(x)$ is a square of linear polynomial then its two zeros are coincident.
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Question 31 Mark
If a quadratic polynomial f (x) is not factorizable into linear factors, then it has no real zero.
Answer
True
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Question 41 Mark
If a quadratic polynomial f (x) is a square of a linear polynomial, then its two zeroes are coincident.
Answer
True
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