Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : x 2 + 4x + 5 has two real zeroes. Reason : A quadratic polynomial can have at the most two zeroes.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion (A): If the zeroes of the quadratic polynomial (k – 1) x 2 + kx + 1 is – 3, then the value of k is 4/3. Reason (R): If – 1 is a zero of the polynomial p(x) = kx 2 – 4x + k, then the value of k is –2.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : If one zero of poly-nominal p(x) = (k 2 + 4)x 2 + 13x + 4k is reciprocal of other, then k = 2. Reason : If (x - α) is a factor of p(x), then p(α) = 0 i.e. α is a zero of p(x).

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : The graph y = f(x) is shown in figure, for the polynomial f(x). The number of zeros of f(x) is 3. Reason : The number of zero of the polynomial f(x) is the number of point of which f(x) cuts or touches the axes.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : P(x) = 14x 3 - 2x 2 + 8x 4 + 7x - 8 is a polynomial of degree 3. Reason : The highest power of x in the polynomial p(x) is the degree of the polynomial.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : The graph y = f(x) is shown in figure, for the polynomial f (x). The number of zeros of f(x) is 3. Reason : The number of zero of the polynomial f(x) is the number of point of which f(x) cuts or touches the axes.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : x 3 + x has only one real zero. Reason : A polynomial of nth degree must have n real zeroes.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion: Degree of a zero polynomial is not defined. Reason: Degree of a non-zero constant polynomial is 0

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion: The sum and product of the zeros of a quadratic polynomial are and 1/4 respectively. Then the quadratic polynomial is 4x 2 + x + 1. Reason : The quadratic polynomial whose sum and product of zeros are given is x 2 -(sum of zeros). x + product of zeros.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion : x 2 + 7x + 12 has no real zeroes. Reason : A quadratic polynomial can have at the most two zeroes.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

Assertion and Reason Test: Polynomials - 2 Free MCQ Practice Test with Solutions

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