If one of our zeros is 4, then the factor is x-4. If the second zero is 5i, then the conjugate root theorem says there HAS to be a root that is -5i. So our 3 factors are (x-4)(x+5i)(x-5i). We will FOIL out these factors to get the polynomial. Let's start with the ones that contain the imaginary numbers. Doing that mutliplication we get x^2-25i^2. i^2 is equal to -1, so what that expression simplifies down to is
. Now we will multiply in that last factor of (x-4):
. FOILing out we have
. There you go!
Answer:
x = 16
Step-by-step explanation:
Verticle angles are always congruent, so:
(8x + 15) = 143
Now, we can solve to isolate x:
8x + 15 - 15 = 143 - 15 (subtract 15 from both sides)
8x/8 = 128/8 (divide both sides by 8)
x = 16
You can always plug in the value of x to the original equation to check your answer:
8(16) + 15 = 143
To make that a perfect square polynomial,
follow these steps:
1. Take the co-efficient of x term: here -16
2. Divide it by 2: -16/2 = -8
3. Square it. : (-8)^2 = 64
Thats it! 64 is the missing term you need :)
1.75 inches and how you get that is 7 Divided by 8 which equals 0.875<span> </span><span>then multiply that by 2 equaling 1.75</span>
The final displacement is 2cm in the right.
Given that the object begins from 0 and moves 3 cm towards the left side and then, 5 cm towards the right side.
The displacement is known as shortest distance between the initial and final positions.
Let the x-axis be the positive, +ve, and on the right side and negative -ve on the left side.
Thus, displacement would be:
D= 0 -3 +5
D= 2 cm
This implies that the object displaces 2cm towards the right side
Hence, the final displacement when object moves from 0 and 3 cm to the left and then 5 cm to the right is 2cm in the right side.
Learn about Displacement from here brainly.com/question/24212575
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