College algebra mm212 Sophia milestone unit 416/20

College algebra mm212 Sophia
milestone unit 416/20

,College algebra mm212
Sophia milestone unit 4
16/20 that's 80%
Well done! If you keep getting Milestone scores like this you'll pass
the course.
16 questions were answered correctly.
4 questions were answered incorrectly.
1

Divide the following expression.




RATIONALE
Start by rewriting the expression into multiple fractions with as the denominator

, use the correct signs (addition or subtraction) between the fractions.
Now that we have individual fractions, we can simplify each fraction. To do this, canc
factors in the numerator and denominator. Let's consider the first set, .


simplifies to because we can factor out from both terms. Next, conside

set, .


simplifies to because we can factor out from both terms. Next, conside

set, .


simplifies to because we can factor out from both terms. The expressio

simplified to .


CONCEPT
Polynomials Divided by Monomials
2
Consider the quadratic function .



Rewrite the function in vertex format.

, •


RATIONALE
To rewrite a quadratic equation from standard form to vertex form , we mus

perfect square trinomial relationship by completing the square. First, move the const


to the other side of the equation.
To move from the right side, subtract from both sides. Next, we can factor o

squared coefficient, , from each term on the right side of the equation because w

just .


Factoring out from each term on the right side results in . Next, inside the p

need to focus on the x-term coefficient, We will need to first divide this coefficie


square the result.
divided by equals ; squared equals . We will use this value to c