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fundamental polynomial operations
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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) (ab) + (2a^3 + b^3)
13)(3x^2 + 4) (2x^2  3) + 2x(3x5)
14)(x^2 + 5x 7) (x^2  x + 4)  (x+2) (x1)
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^2y12xy/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^212 12)3a^3 13)6x^4+5x^210x12 14)x^4+4x^39x^2+26x26 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(6x4)/3xy :6x4 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!
Answers:10) 21a^4b^4  16a^3b^3 11)2x^4+5x^212 12)3a^3 13)6x^4+5x^210x12 14)x^4+4x^39x^2+26x26 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(6x4)/3xy :6x4 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(x4) +9(x4) = x^2 4x +9x 36 =x^2 +5x 36
Answers:= x(x4) +9(x4) = x^2 4x +9x 36 =x^2 +5x 36
Question:f(x)= 3x4 and g(x)=square root of x^24x+3
combinations:
1.) f+g
2.)fg
3.)fg
4.)f/g
a.)what is the domain of each combination by using the definitions?
thanks for advance.;
Answers:f(x)= 3x4 Dom f = all Reals, and g(x)= (x 4x+3) Dom g all reals for which x 4x+3 >=0 A little prework on g: (x1)(x3)>= 0 g(x) = 0 when x is 1 or x = 3. For g(x) > 0 either x1 > 0 and x  3 > 0 OR x1 < 0 and x  3 < 0. Said differently x > 3 OR x < 1. All together is: is [3, ) U ( , 1] 1.) f+g = 3x4 + (x 4x+3) Dom f+g = Dom f Dom g = [3, ) U ( , 1] 2.)fg= 3x4 (x 4x+3) Dom fg = Dom f Dom g = [3, ) U ( , 1] 3.)fg = (3x4) (x 4x+3) Dom fg = Dom f Dom g = [3, ) U ( , 1] 4.)f/g = (3x4)/ (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.
Answers:f(x)= 3x4 Dom f = all Reals, and g(x)= (x 4x+3) Dom g all reals for which x 4x+3 >=0 A little prework on g: (x1)(x3)>= 0 g(x) = 0 when x is 1 or x = 3. For g(x) > 0 either x1 > 0 and x  3 > 0 OR x1 < 0 and x  3 < 0. Said differently x > 3 OR x < 1. All together is: is [3, ) U ( , 1] 1.) f+g = 3x4 + (x 4x+3) Dom f+g = Dom f Dom g = [3, ) U ( , 1] 2.)fg= 3x4 (x 4x+3) Dom fg = Dom f Dom g = [3, ) U ( , 1] 3.)fg = (3x4) (x 4x+3) Dom fg = Dom f Dom g = [3, ) U ( , 1] 4.)f/g = (3x4)/ (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
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
From Youtube
Polynomials :Check us out at www.tutorvistacom Polynomial is an expression of finite length constructed from variables (also known as indeterminates) and constants, using only the operations of addition, subtraction, multiplication, and nonnegative, wholenumber exponents. For example, x2 4x + 7 is a polynomial, but x2 4/x + 7x3/2 is not, because its second term involves division by the variable x and because its third term contains an exponent that is not a whole number. Polynomials appear in a wide variety of areas of mathematics and science. For example, they are used to form polynomial equations, which encode a wide range of problems, from elementary word problems to complicated problems in the sciences; they are used to define polynomial functions, which appear in settings ranging from basic chemistry and physics to economics and social science; they are used in calculus and numerical analysis to approximate other functions. In advanced mathematics, polynomials are used to construct polynomial rings, a central concept in abstract algebra and algebraic geometry.
Basic Algebra: Operations With Radicals :www.mindbites.com This 75 minute basic algebra lesson deals with radicals (roots). You will learn how to simplify by adding, subtraction, multiplying and dividing radicals without the use of a calculator. You will learn:  definitions, perfect squares and cubes, radical, radicand, index, square and other roots, mixed radical, entire radical, like radicals  to simplify radicals  to change mixed radicals to entire radicals  to multiply & divide radicals  add & subtract radicals  to work with radicals and special products: difference of squares & perfect squares  identities  word problems involving rectangles and squares This lesson contains explanations of the concepts and 44 example questions with step by step solutions plus 5 interactive review questions with solutions. Lessons that will help you with the fundamentals of this lesson:  100 All About Numbers (www.mindbites.com  105 Rules for Integers and Absolute Value (www.mindbites.com  125 Multiplication of Polynomials (www.mindbites.com