acc290 week 1
Dq 2 week 1 I would explain that when multiplying polynomial is when all the variables have integer exponents that are positive. This works with addition, subtraction and multiplication. It has to be possible to write the equation without division for it to be a polynomial. This is an example of what a polynomial looks like: 4xy2+3X-5. To multiply two polynomials, you must multiply each term in one polynomial by each term in the other polynomial, and then add the two answers together. After you get your answer, simplify to the smallest term if it is needed.
To multiply one term by another term, first multiply the constants, then multiply each variable together and combine the result. Here is an example (2xy)(4y)=2.4.xy.y=8xy2
Week 2 dq1
The greatest common factor is a multiple of a set of numbers that all numbers share in common. You know you have reached the greatest common factor when you perform the multiplication and the numbers cannot be simplified further.
For instance, in the following expression: (45x+60y), there are several potential common factors for 45 and 60 that could be used to simplify the equation.
For instance, a person could chose 5, and do the following 5(9x+12y) to simplify, however, because 9 and 12 can both be divided by 3, then the person has not chosen the greatest common factor between the numbers.
A person looking for the greatest common factor would choose 15, and the expression would change to 15(3x+4y) which reveals 3, a prime number that cannot be divided into a smaller number, and 4, which is not divisible by 3. Therefore, 15 is the greatest common factor.
Week 2 DQ2
To factor x2+bx+c you would need to find the number that is c that when multiplied will equal the number c and when added together will equal b. For example: x2 + 12x+32. What number when multiplied will equal 32 but when added together will equal 12. Those numbers would be 4 and 8. So to factor x2+12x+32 it would be (x+4)(x+8). If you do
To multiply one term by another term, first multiply the constants, then multiply each variable together and combine the result. Here is an example (2xy)(4y)=2.4.xy.y=8xy2
Week 2 dq1
The greatest common factor is a multiple of a set of numbers that all numbers share in common. You know you have reached the greatest common factor when you perform the multiplication and the numbers cannot be simplified further.
For instance, in the following expression: (45x+60y), there are several potential common factors for 45 and 60 that could be used to simplify the equation.
For instance, a person could chose 5, and do the following 5(9x+12y) to simplify, however, because 9 and 12 can both be divided by 3, then the person has not chosen the greatest common factor between the numbers.
A person looking for the greatest common factor would choose 15, and the expression would change to 15(3x+4y) which reveals 3, a prime number that cannot be divided into a smaller number, and 4, which is not divisible by 3. Therefore, 15 is the greatest common factor.
Week 2 DQ2
To factor x2+bx+c you would need to find the number that is c that when multiplied will equal the number c and when added together will equal b. For example: x2 + 12x+32. What number when multiplied will equal 32 but when added together will equal 12. Those numbers would be 4 and 8. So to factor x2+12x+32 it would be (x+4)(x+8). If you do