Answer:
Step-by-step explanation:
Given [Missing from the question]
Required
Solve
Using factorization, we have:
Expand 2x
Factorize
Factor out 2x - 1
Split:
In both cases, solve for x
--- approximated
Answer:
Step-by-step explanation:
The original price of the wind chimes at the home improvement store is $w.
A customer signed up for a free membership card and received a 5% discount off the price. The value of the discount is
5/100 × w = 0.05w
The discounted price would be
w - 0.05w = 0.95w
Sales tax of 6% was applied after the discount. The amount of sales tax applied would be
6/100 × 0.95w = 0.057w
The algebraic expression to represent the final price of the wind chime is
0.95w + 0.057w
= 1.007w
<span>We have the following polynomial:
The problem states that one root is -3. Thus, it is true that
is a factor of the polynomial. Given that this is fulfilled, it is also true that:
</span>
<span>
We can find Q(x) by applying Ruffini's rule, thus:
</span>
<span>
Therefore:
The roots of this polynomial can be get as follows:
These are the roots along with
. Finally, the factored polynomial can be written as follows:
</span>
Answer:
Step-by-step explanation: