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POLYNOMIALS: It is not once nor twice but times without number that the same ideas make their appearance in the world.
1. Find the value for K for which x4 + 10x3 + 25x2 + 15x + K exactly divisible by x + 7.
Ans: Let P(x) = x4 + 10x4 + 25x2 + 15x + K and g(x) = x + 7
Since P(x) exactly divisible by g(x)
∴ r (x) = 0
(Ans : K= - 91)
now
x4 + 7 x3
-------------
3x3 + 25 x2
3x3 + 21x2
-------------------
4x2 + 15 x
4x2 + 28x
-----------------
-13x + K
- 13x - 91
----------------
K + 91
∴ K + 91 = 0
K= -91
Let a 0 , a 1 ::: be the series recursively defined by a 0 = 1, and an = 3 + a n-1 for n ≥ 1. (a) Compute a 1 , a 2 , a 3 and a 4 . (b) Compute a formula for an, n ≥ 0.
1+3+5+7+9+11+13+15+17+19
2x+57=65 find x
Dividing a quantity in a given ratio
WHAT IS PRECALC
is 1 and 1/2+2 and 1/7 3 and 9/4
In the adjoining figure, ABCD is a square of side 6cm. Find the area of the shaded region. Ans: From P draw PQ ⊥ AB AQ = QB = 3cm (Ans: 34.428 sq cm) Join PB
The sum of areas of two squares is 468m 2 If the difference of their perimeters is 24cm, find the sides of the two squares. Ans: Let the side of the larger square be x .
What are the characteristics of a queuing system? (i) The input pattern (ii) The queue discipline (iii) The service mechanism
Kurtosis - It is a concept, which refers to the degree of peakedness of a described frequency distribution. The degree is generally measured along with reference to general di
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