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Black_prince [1.1K]
3 years ago
13

Write a quartic trinomial with a leading coefficient of 2 using standard form

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0
Quartic => polynolial degree 4, i.e. the highest exponent of the variable is 4

trinomial=> three terms

leading coefficient = the coefficient in front of the term with the highest exponent.

standard form=> ax^4 + bx^3 + c^2 + dx + e

Solution:

2x^4 + x^3 + 0x^2 + 0x + 30

which is equal to 2x^4 + x^3 + 30: this is a quartic trinomial with leading coefficient 2, written in standard form.
 
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How do I simplify the following to "a+bi" form: (1+2i)^3
damaskus [11]

Answer:

Expand it.

(1+2i)^3 is equal to (1+2i)(1+2i)(1+2i).

Multiply everything out (being sure to multiply <em>every</em> term. (1+2i) * (1+2i) = 1+2i+2i+4i^2.

i is the square root of negative one, so i^2 is just -1. 1+2i+2i-4 is what you get from the first two, so now simplify that:

1-4 + 2i+2i = (-3+4i) and now multiply that by (1+2i):

(-3+4i) * (1+2i) = -3 - 6i +4i +8i^2.

Simplify again, and the answer is: -11-2i

Step-by-step explanation:

I hope this helps - really my only tip is don't spend time thinking about what i is, that just hurts your brain. Just remember that i^2 is equal to negative one, and treat it like regular multiplication and you will be fine.

7 0
2 years ago
Math class, need help on this. Anybody?? ​
ASHA 777 [7]

Answer:

y = 2x-5

Step-by-step explanation:

y = 2x+2

We know the slope of this line is 2 because it is in the form y =mx +b  where m is the slope

We want a parallel line so it has the same slope

We can use the point slope form of the equation

y-y1 = m(x-x1)

y--1 = 2(x-2)

y+1 = 2(x-2)

Distribute

y+1 = 2x-4

Subtract 1 from each side

y+1-1 = 2x-4-1

y = 2x-5

This is in slope intercept form

3 0
3 years ago
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