Hey there!
In order to multiply these polynomials together, you will take both terms of the first polynomial and multiply them by each term in the second polynomial. You can then combine any like terms to get your final answer.
(2x² – 5x)(4x² – 12x + 10)
2x² × 4x² = 8x⁴
2x² × –12x = –24x³
2x² × 10 = 20x²
–5x × 4x² = –20x³
–5x × –12x = 60x²
–5x × 10 = –50x
Write all of these terms together. You can rearrange the similar ones to be next to each other.
8x⁴ – 24x³ – 20x³ + 20x² + 60x² – 50x
Just add or subtract the terms to simplify, if they can be.
8x⁴ – 44x³ + 80x² – 50x
(8x⁴ – 44x³ + 80x² – 50x) will be your final answer.
Hope this helped you out! :-)
The average score is 500 points and the standard deviation is 50 points.Mean - 2 SD = 500 - 2 * 50 = 500 - 100 = 400It means that more than 400 on the standardized test is more than: Mean - 2 Standard deviations.For the Normal distribution: 100% - 2.5 % = 97.5% = 0.975.Answer: The probability that student scores more than 400 points is 0.975.
Step 1. Move all terms to one side.
![3 x^{2} +7x-24-13x=0](https://tex.z-dn.net/?f=3%20x%5E%7B2%7D%20%2B7x-24-13x%3D0)
Step 2. Simplify
![3 x^{2} +7x-24-13x=0](https://tex.z-dn.net/?f=3%20x%5E%7B2%7D%20%2B7x-24-13x%3D0)
to
![3 x^{2} -6x-24](https://tex.z-dn.net/?f=3%20x%5E%7B2%7D%20-6x-24)
![3 x^{2} -6x-24=0](https://tex.z-dn.net/?f=3%20x%5E%7B2%7D%20-6x-24%3D0)
Step 3. Factor out the common term 3
![3( x^{2} -2x-8)=0](https://tex.z-dn.net/?f=3%28%20x%5E%7B2%7D%20-2x-8%29%3D0)
Step 4. Factor
![x^{2} - 2^{x} -8](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20-%202%5E%7Bx%7D%20-8)
1. <span>Ask: Which two numbers add up to -2 and multiply to -8?
2. </span><span> Answer: -4 and 2
3. </span>Rewrite the expression as
![(x-4)(x+2):](https://tex.z-dn.net/?f=%28x-4%29%28x%2B2%29%3A)
![3(x-4)(x+2)=0](https://tex.z-dn.net/?f=3%28x-4%29%28x%2B2%29%3D0)
Step 5. solve for
![x](https://tex.z-dn.net/?f=x)
1. Ask: When will
![(x-4)(x+2)](https://tex.z-dn.net/?f=%28x-4%29%28x%2B2%29)
equal zero?
2. Answer: When
![x-4=0](https://tex.z-dn.net/?f=x-4%3D0)
or
![x+2=0](https://tex.z-dn.net/?f=x%2B2%3D0)
<span>
3. </span><span>Solve each of the 2 equations above:
</span>
![x=4,2](https://tex.z-dn.net/?f=x%3D4%2C2)
<span>
Done! :) </span>
![x=4,2](https://tex.z-dn.net/?f=x%3D4%2C2)
is your answer.
Answer:
64 mm²
Step-by-step explanation:
16 × 4 = 64
<em>good luck, i hope this helps :)</em>