Question

[CBSE Question Bank 16. Prashant claims that the polynomial p(x) = mx + xº (a > 26) has 4b zeroes. For Prashant's claim to be correct, which of these must be true? (a) Q = 2 or a = 46 (b) a = 46 (c) m = = 26 (d) m = 46 Which of the following statements is correct? ​

Answer 1

SOLUTION

CORRECT QUESTION

TO CHOOSE THE CORRECT OPTION

prashant claims that the polynomial

$\sf p(x) = m {x}^{a} + {x}^{2b} \: \: (a > 2b)$

has 4b zeroes. For Prashant claim to be correct which of these must be true

(a) a = 2 or a = 4b

(b) a = 4b

(c) m = 2b

(d) m = 4b

EVALUATION

Here the given polynomial is

$\sf p(x) = m {x}^{a} + {x}^{2b}$

Now it is stated that a > 2b

The variable is x

Since it is given that the polynomial has 4b zeroes

So degree of the polynomial = 4b

Thus the highest power of its variable that appears with nonzero coefficient is 4b

Then we have a = 4b

FINAL ANSWER

Hence the correct option is (b) a = 4b

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Answer 2

Answer:

a=4b

Step-by-step explanation: