What are the factors of 9t^2+12t+4
1 answer:
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Looking at the problem, what we must do to complete this question is to completely factor the expression that was provided. The expression that was provided is .
The first step that we must do is to take a look at the expression and see what the two pieces of the expression have in common. We can see that both and
have the number 5 and the variable c associated with them so we can factor out those two.
<u>Factor out 5c</u>
Now we have completely factored out the expression that was provided in the problem statement and we came to final answer of .
Part A)
The given equation is:
The radicand or discriminant(d) of the equation will be:
Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square.
Part B)
The given equation is:
We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get:
The given equation is:
The radicand or discriminant(d) of the equation will be:
Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square.
Part B)
The given equation is:
We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get: