1. What are the four steps to solve a polynomial equation?
2 answers:
Answer:
x=-6
x=10
Step-by-step explanation:
1)
Step 1: Write the equation in the correct form. To be in the correct form, you must remove all parentheses from each side of the equation by distributing, combine all like terms, and finally set the equation equal to zero with the terms written in descending order.
Step 2: Use a factoring strategies to factor the problem.
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
2)
60 has factors 1,-1,2,-2,3,-3,4,-4,5,-5,6,-6,10,,-10,12,-12,20,-20,30,-30,60,60.
Notes that x is not small number like 1,2,3,4.
Lets x=-6 Then we have:
6^2+4*6-60=36+24-60=0.
So we have one solution, x=-6.
Than we have:
i.e
So the 2nd solution is x=10.
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Answer:
Dilation followed by Translation.
Step-by-step explanation:
We have the function .
The new transformed function is
Now, the transformation applied to f(x) to obtain g(x) are:
1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.
Since, we are dilating the given function by 2 units, the new dilated function becomes .
2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.
As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes .
Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.