#### • Class 11 Physics Demo

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#### • learn online operations with polynomials

Question:10)(14a^2b^2 + 24a^3b^3 - 6 a^4b^4) - (-6a^4b^4 + 8a^3b^3 - 7a^2b^2) 11)(2x^2 - 3) (x^2 + 4) 12)(a^2 + ab + b^2) (a-b) + (2a^3 + b^3) 13)(3x^2 + 4) (2x^2 - 3) + 2x(3x-5) 14)(x^2 + 5x -7) (x^2 - x + 4) - (x+2) (x-1) 15)(x^2 -2xy +3y^2) (3x + 2y) + 5x(x^2 + 3xy) 16)35x^3z^5 / -7x^2y^3z 17) note that pi is =3.14 (pi)r^2h + 4(pi)r^2/(pi)r 18)18x^2y-12xy/3xy {Note that 3xy is the denominator of both the polynomials} 19)3a^2/b divided by (2a)^2/b^3 20)24x^3y/5z^2 divided by (3x^2/2z^2 divided b 5xz/2y) 21)(12m^3n^2 + 8m^2n^3/4m^2n^2) divided by 1/3m+2n Show solutions on numbers 16 -21 only. God bless! Note also in number twenty one that 4m^2n^2 is the denominator of the first polynomials.

Answers:10) 21a^4b^4 - 16a^3b^3 11)2x^4+5x^2-12 12)3a^3 13)6x^4+5x^2-10x-12 14)x^4+4x^3-9x^2+26x-26 15)8x^3+11x^2y+13xy^2+6y^3 :5xy^-3z^4 16)(35*x^3*z^5)/(-7*x^2*y^3*z) : 5*x*y^-3*z^4 17) do u need to put value of pi. I dont think so and if yes then u must be having the values of r and h pir^2h+pir 18) 3xy(6x-4)/3xy :6x-4 19)3a^2/b * b^3/4a^2 : 3/4b^2 20)( 24x^3y/5z^2)/{(3x^2/2z^2)/(5xz/2y)} :( 24x^3y/5z^2)/{(3x^2/2z^2)*(2y/5xz)} :( 24x^3y/5z^2)/(3xy/5z^3) :( 24x^3y/5z^2)*(5z^3/3xy) :8xz 21)I thinks this at least you should try and do it urself. The problems were really very very simple, it is not correct to ask them. GOD BLESS!

Question:(x + 9) (x - 4)

Answers:= x(x-4) +9(x-4) = x^2 -4x +9x -36 =x^2 +5x -36

Question:f(x)= 3x-4 and g(x)=square root of x^2-4x+3 combinations: 1.) f+g 2.)f-g 3.)fg 4.)f/g a.)what is the domain of each combination by using the definitions? thanks for advance.;

Answers:f(x)= 3x-4 Dom f = all Reals, and g(x)= (x -4x+3) Dom g all reals for which x -4x+3 >=0 A little pre-work on g: (x-1)(x-3)>= 0 g(x) = 0 when x is 1 or x = 3. For g(x) > 0 either x-1 > 0 and x - 3 > 0 OR x-1 < 0 and x - 3 < 0. Said differently x > 3 OR x < 1. All together is: is [3, ) U (- , 1] 1.) f+g = 3x-4 + (x -4x+3) Dom f+g = Dom f Dom g = [3, ) U (- , 1] 2.)f-g= 3x-4 (x -4x+3) Dom f-g = Dom f Dom g = [3, ) U (- , 1] 3.)fg = (3x-4) (x -4x+3) Dom fg = Dom f Dom g = [3, ) U (- , 1] 4.)f/g = (3x-4)/ (x -4x+3) Dom f/g = Dom f Dom g , except for x's where g(x)= 0; namely 1 and 3. So Dom f/g = (3, ) U (- , 1) Note open intervals here.

Question:Using decimal points and the four fundamental operations, arrange six 4's to obtain an answer of 10. I am totally clueless here. Any suggestions as to what the teacher wants? Thanks So far, hay harbr is the closest but the questions does state to use the 4 operations. I've been trying to plug in all 4 but I've had no luck. And with this teacher, if she states to use the 4 operations, chances are more than likely you have to use all 4. I really appreciate the time you are all putting into this.

Answers:Use either .4 and/or 4 six times and have the answer come out 10, using +, - , X or divide as well. Like (44 - 4) / 4 + .4 - .4 for example would be 40 divided by 4 which is 10 + .4 - .4 which is still 10