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Which of the following is correct?A) When a quadratic polynomial is divided by linear polynomial. We always get constant polynomial.B) Cubic polynomial when divided by linear polynomial we will always get constant polynomial as remainder.C) Zero is rational number.D) If n is even then an + bn is always divisible by a + b*Multi - Option correct MCQ |
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Answer» Correct answer is:- (B) and (C) Explanation:- (A) Let us take a quadratic polynomial x2 + 9x + 11 is divided by x - 3 we get x + 12 as a polynomial which is linear and some remainder. So it is not necessary that we always get constant polynomial. Hence, (A) is incorrect. (B) Let's say a cubic polynomial is x3 + 3x + 2 is divided by x + 2, then the remainder is (-2)3 + 3(-2) + 2 = -12 which is a constant polynomial. If you take any other cubic polynomial and divide it by a linear polynomial, you will always get a constant polynomial as a remainder. Hence, (B) is correct. (C) Zero is always a rational number, as it can be written in the form of p/q, where q should not be zero. (D) n should be odd so that an + bn is divisible by a + b. Hence, (D) is incorrect. |
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