A perfect trinomial, if we begin by a binomial is defined as: the square of the first term, plus (or minus) the double product of the first term times the second, plus the square of the second term:
(a + b)^2 = a^2 + 2ab + b^2
We are given:
y^2 + 5y + x
we need to find x, so x is defined as a squared quantity, which is equal to the second term coefficient (5) divided by 2, and that number squared, that is:
(5/2)^2 = 25/4
that is the third term for the trinomial to be perfect.
First in factoring, you must find out what is common in the whole equation
Now, make 2 sets of parentheses and "split up" the rest of the equation
Try to experiment which numbers work out
We are not subtracting anything so both parentheses are positive
Therefore, the factored version of
is
Answer:
Step-by-step explanation:
<u>Given</u>
- ΔABC ⇒ A(- 1, 3), B(- 1, 1), C(3, 1)
- ΔA'B'C' ⇒ A'(2, - 2), B'(2, - 4), C'(6, - 4)
<u>Comparing the coordinates of the corresponding vertices, we see the difference:</u>
It means the ΔABC has been translated 3 units right and 5 units down
Correct answer choices are B and E
