Question

033. Assertion (A): A constant polynomial always cuts the x-axis at only one point. Reason (R): Constant polynomials do not have any zero.

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Answer 1

Answer:

A is true but R does not explains A

Step-by-step explanation:

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Answer 2

Both the assertion and reason are true statements, but the reason is not a correct explanation for the assertion.

• A polynomial function has the formula f(x) = c. In this function, c represents a constant, which is also referred to as a constant polynomial.
• A horizontal line with this polynomial crosses the x-axis precisely once.
• This is the case because a constant polynomial only meets the x-axis at the point where f(x) = c = 0, as it does not change value as x changes.
• The justification is accurate since a constant polynomial never contains zeros as its value is always equal to c. Though it does not fully explain why a constant polynomial only intersects the x-axis once.
• Moreover,  it is not required to say that constant polynomials have no zeros to understand why they only have one x-intercept.
• Thus, Both the assertion and reason are true statements, but the reason is not a correct explanation for the assertion.

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