Name the property the equation illustrates.
2 answers:
Answer:
Option D is correct
Commutative Property of Addition
Step-by-step explanation:
Commutative property of addition states:
for any number x and x we have;
As per the statement:
Consider:
By commutative property of addition we get;
⇒
Therefore, the property the equation illustrates is, Commutative Property of Addition
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Answer: B) -56i - 24
This is the same as -24 - 56i
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Explanation:
The 'i' refers to the imaginary number
In other words,
Squaring both sides gets us
So,
The result is in the form a+bi where a = -24 is the real part and b = -56 is the imaginary part.
It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.
The simplest polynomial with these characteristics would be
but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with
which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients: