Hello from MrBillDoesMath!
Answer:
2 - i
Discussion:
Evaluate F(x) = x^3 - 2 x^2 when x = i.
i^2 = -1 for i^3 = i ( i^2) = i (-1) = -i
So F(i) = (i)^3 - 2 (i)^2
= -i - 2(-1)
= -i + 2
= 2 - i
which is the last answer shown
Thank you,
MrB
Answer:
1: B. 2: 6n^6+9n^5+4n^2-4n. 3: D. 4: 6b^2-15b-9. 5: 48x^2-4x-4
Step-by-step explanation:
1.
A trinomial is a polynomial with three terms. The expression 7v^2 +2v +2 has 3 terms.
2.
A polynomial in standard form has its powers listed from highest power to lowest power. The terms are 6n^6, 4n^2, 9n^5, and -4n. Remove the bottom numbers to find 6, 2, 5, and 1. Next, put them in order. 6, 5, 3, 1. Then, re-add the bottom numbers. 6n^6+9n^5+4n^2-4n.
3. A sixth degree polynomial is one with a sixth degree power. So, the answer is either C or D. Next, let's look at the terms. The expression here has 4 terms. So, the answer is D.
4 and 5:
To solve expressions in this form, (a+b)(c+d), turn the expression into an equivalent one, ac+ad+bc+bd. Plug in the numbers (with a negative mark if its -a or a-b) into that expression to get your answer.
4 simplifies out into 6b^2+3b-18b-9, which can be simplified into 6b^2-15b-9
5 simplifies out into 48x^2+12x-16x-4, which can be simplified into 48x^2-4x-4.
First multiply 2/3*9x=6x
then multiply 2/3*-6=-4
this being 6x-4.
then multiply 4*x=4x
then multiply 4*2=8
this being 4x+8.
so we have 6x-4=4x+8+2
we add the 8+2=10
6x-4=4x+10
now we subtract the x to both sides (choose 4x)
2x-4=10
now we add 4 to both sides.
2x=14
we divide 2 to both sides.
we get x=7
final answer:x=7
Answer:
0.533
Step-by-step explanation:
