AHGSIGMA

You can use Guass Formula to find the sum from 1 through n .

(n+1)*n/2=141*140/2=141*70

Since we want to find the prime factors:

141=3*47

70=7*2*5

SO we need the greatest which is $\left [ 47 \right ]$

You could do complementary counting and see the ones that are not right.

1,2

1,3

2,1

And since the total ways are 25:

1(Because 25/25=1)-3/25(That are wrong)=22/25

Hope This Helps

Coefficent of x= x* a constant number or a constant number *x

So there is a x and 14.So we multiply and get 14x.There is a -23x and a 1 so we multiply and get 

14x+(-23x).Which equals -9x.

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The sum of the angles of the quadrilateral = 360 degrees ....

so 

 q   +    4q+17     +   8q+21     +    15q+148 = 360 

28q + 186 = 360 

q = 6.214               Then the largest angle is  15 (6.214) + 148 = 241.2 degrees 

We could do $ab^4/ab^2=48/4$

So the A will cancel out and we will be left with $b^2=12$

So the answer is $2 \sqrt{3}$ or$-2\sqrt{3}$

So we can see that every number has at least one square divisor(except 0) which is 1.

Now we can see that it has to be 4 because it is divisble by 1^2 and 2^2

Hope This Helps

(x+7)^2=2x^2+x+1:Converting to base 10

x^2+49+14x=2x^2+x+1:Using the formula (a+b)^2 = a^2+b^2+2ab

x^2=13x+48

x=16

So the answer is 16