# Science World

## Science World

• Submitted By: chilli2k
• Date Submitted: 06/20/2013 5:37 AM
• Category: Science
• Words: 373
• Page: 2
• Views: 150

MATHS HOLIDAY HOMEWORK

NUMBER SYSTEM AND POLYNOMIAL

CLASS: IX

1) Find the remainder when p(x) = 4x³ - 12x² + 14x - 3 when divided by
x - [pic] (Use remainder theorem).

2) Find the values of a and b so that the polynomial x ³-ax²-13x+b has (x-1) and (x+3) as a factor.

3) Find the remainder when x51 +51 is divided by (x+1).

4) Find p(0), p(1) and p(2) for each of the following polynomials

a) p(x)=4x²+x-5 b) p(y)=9y3+2y2+y+7
c) p(z)=(z+1)(z-1) d) p(t)=[pic]+t+1

5) Divide the polynomial x³-27x²+8x+18 by (x-1) by long division

method.

6) Rationalizing factor of [pic]is

7) Find the product of (2x+y) (2x-y) (4x²+y²).

8) If (x+1) is a factor of x³+ax²-x+3, then find the value of ”a”.

9) An irrational number between   and   is:

10) Represent [pic] on the number line.

11) Express each of the following decimals in the form [pic].
a) 0.39 b) 0.750 c) 2.15 d) 7.010 e) 9.90

f) 1.0001 g) 0.4444…… h) 0.54545454…… i) 0.621621621621…

j) 125.33333………. k) 4.777777……. l) 0.4747474747……..

12) Rationalize the denominator of each of the following.

i) [pic] ii) [pic] iii) [pic] iv) [pic] v) [pic]

13) if x = 3 + [pic] , find the value of x² + [pic]

14) If 2 + [pic] , find the value of x³ + [pic]

15) Construct a “square root spiral”.

16) Show how [pic] can be represented on the number line.

17) Simplify:

I) (5 + [pic] ) (4 + [pic] ) II) ( 3 + [pic] ) ( 3 - [pic] )

III) [pic] + [pic] ) 2 IV) ( [pic] - [pic] ) ( [pic] + [pic] )

18) Visualize 6.432 on the number line,...