Work sheet - 5 Class IX
Subiect: Maths
Chapter-2
Polynomials
1. Using suitable identity find (2 + 5x) (2 - 5x).
2. Find the value of p(x) = 5x - 3x + 7 at x = 1.
3. Find the remainder when r + x-2x + x + 1 is divided by < -1.
4. Evaluate using suitable identity : (998).
5. Find the value of x + y + 12xy - 64 when x + y = 4.
6. Factorise: 125x + 27% + 80 - 90xyz.
7. Factorise: (x - y) - 7(x - y) + 12(x + y)2
8. Expand (4a - 26 - 3c)?
9. Using factor theorem, factorise the polynomial r + x - 4x - 4
10. If x - 2 is a factor of ro - 3x4 - ard + 3ar? + 2ax - 4, find the value of a
11. Let p(x) = x + 3x2 - 6x + 6 be divided by (x - 1). Find the remainder.
12. Show that (x - 1) is a factor of x10 - 1 and also of #11 - 1.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

s

step-by-step explanation:

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)