G(x)=2x+1
g(3)=2(3)+1
g(3)=6+1
g(3)=7
Answer:
1/2, 3
Step-by-step explanation:
This is a pretty involved problem, so I'm going to start by laying out two facts that our going to help us get there.
- The Fundamental Theorem of Algebra tells us that any polynomial has <em>as many zeroes as its degree</em>. Our function f(x) has a degree of 4, so we'll have 4 zeroes. Also,
- Complex zeroes come in pairs. Specifically, they come in <em>conjugate pairs</em>. If -2i is a zero, 2i must be a zero, too. The "why" is beyond the scope of this response, but this result is called the "complex conjugate root theorem".
In 2., I mentioned that both -2i and 2i must be zeroes of f(x). This means that both
and
are factors of f(x), and furthermore, their product,
, is <em>also</em> a factor. To see what's left after we factor out that product, we can use polynomial long division to find that

I'll go through to steps to factor that second expression below:

Solving both of the expressions when f(x) = 0 gets us our final two zeroes:


So, the remaining zeroes are 1/2 and 3.
Answer:
D = 11
Step-by-step explanation:
A = 4
B = 9
C = 11
D = 4 + (2 * 9) - 11
D = 4 + 18 - 11
D = 22 - 11
D = 11
brainliest plz
Answer:
Prime number
Step-by-step explanation:
A prime number has 2 factors.
A composite number has more than 2 factors.
47 has the factors 1 and 47.
47 is a prime number.
Answer:
put your y-intercept on -5 thats your first point then go down one left two and thats your second point then draw the line.
Step-by-step explanation: