Factor 25x 2 + 10x + 1.
2 answers:
Answer: Factors are (5x+1)²
Step-by-step explanation:
Given expression :
We have to find the factors of the above expression
In order to find the factors of a quadratic equation we multiply the first term with the third term
i.e.
=
Now to break it in multiples such that their sum or difference is equal to the middle term
If we take (5+5)x that makes 10x
5x(5x+1) +1(5x+1)
=(5x+1)(5x+1)
or (5x+1)²
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Explanation
Answer
As you can see all the possible answers have the same form:
By looking at the picture you'll notice that the graph of g(x) has to pass through the point (2,1). Remember that the points in the graph of g(x) have the form (x,g(x)). Since (2,1) is part of the graph of g(x) then we have the following:
So let's evaluate the expression for g(x) that we wrote before at x=2. This way we'll obtain an equation for the number a:
Then we can divide both sides by 4:
Then we get:
Then the answer is option A.