CBSE Class 10 Answered
1. for what value of h, will 4be the zero of f(x)=x^2 + hx + 4 ?
2. find all the zeroes of the polynomial x^4 +x^3 -9x^2 -3x+18 if it is given that two of its zeroes are -?3 and ?3.
3. if sum of square of the polynomial 6x^2 +x+k is 25/36, find k.
Asked by ankit Rao | 18 Sep, 2012, 07:07: PM
Expert Answer
Answer of Question No. 1:
Since the zero of f(x) = x2 + hx + 4 is 4 so, 42 + h × 4 + 4 = 0
Or, 16 + 4h + 4 = 0
Or, 4h = -20
Or, h = -5
Answer of Question No. 3:
Let ? and ? be the zeroes of the polynomial, p(x) = 6x2 + x + k
Now, ? + ? = -1/6 and ?? = k/6
It is given that ?2 + ?2 = 25/36
Or, (? + ?)2 - 2?? = 25/36
Or, (-1/6)2 - 2 × k/6 = 25/36
Or, - k/3 = 25/36 - 1/36 = 24/36 = 2/3
Or, k = -2
Answered by | 18 Sep, 2012, 08:50: PM
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