Level
pending

a) Let there be a square with its vertices on $A(150,150),B(150,-150),C(-150,-150),D(-150,150)$ . Let A Square WXYZ Be created By Joining the Mid points Of the Sides $AB,BC,CD,DA$ . Find the Area Of WXYZ. Let this Area be a.

b) Let P(x) Be a Quadratic Polynomial, Such That, P(1) = 7 P(2)=17 P(3)= 31.

Find b where P(b) =b and b is integral.

c) Given, $P(x)={150x}^{150}-{149x}^{149}+{148x}^{148}-.......-x-c$ Given, P(-1)=0, Find c.

Find, $a+b+c$ .

The answer is 56324.

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For the second one what I did was

F(x)=(x-1)(x-2)

P(x)=F(x) +x(x+7) -1

Then let the variable be b

b=F(b)+b(b+7)-1

From the above equation we get. b= -1 ,-1/2

Since we only need the integral value of b

Therefore b= -1