Given:
![1. -3 x^{2}\left(4 x^{3}-7\right)\\$2. $(6 x-5)(2 x+3)$\\3. $(3 x-1)\left(x^{2}+5 x-2\right)$](https://tex.z-dn.net/?f=1.%20%20-3%20x%5E%7B2%7D%5Cleft%284%20x%5E%7B3%7D-7%5Cright%29%5C%5C%242.%20%24%286%20x-5%29%282%20x%2B3%29%24%5C%5C3.%20%24%283%20x-1%29%5Cleft%28x%5E%7B2%7D%2B5%20x-2%5Cright%29%24)
To find:
The product of the polynomials.
Solution:
1.
![=-3 x^{2}(4 x^{3}) -3 x^{2}(-7)](https://tex.z-dn.net/?f=%3D-3%20x%5E%7B2%7D%284%20x%5E%7B3%7D%29%20-3%20x%5E%7B2%7D%28-7%29)
Multiply the numerical coefficient and add the powers of x.
![=-12 x^{5}+21 x^{2}](https://tex.z-dn.net/?f=%3D-12%20x%5E%7B5%7D%2B21%20x%5E%7B2%7D)
2. ![(6 x-5)(2 x+3)=6 x(2 x+3)-5(2x+3)](https://tex.z-dn.net/?f=%286%20x-5%29%282%20x%2B3%29%3D6%20x%282%20x%2B3%29-5%282x%2B3%29)
Multiply each term of first polynomial with each term of 2nd polynomial.
Multiply the numerical coefficient and add the powers of x.
![=12 x^2+18x-10 x-15](https://tex.z-dn.net/?f=%3D12%20x%5E2%2B18x-10%20x-15)
![=12 x^2+8x-15](https://tex.z-dn.net/?f=%3D12%20x%5E2%2B8x-15)
3. ![(3 x-1)\left(x^{2}+5 x-2\right)=3 x(x^{2}+5 x-2)-1(x^{2}+5 x-2)](https://tex.z-dn.net/?f=%283%20x-1%29%5Cleft%28x%5E%7B2%7D%2B5%20x-2%5Cright%29%3D3%20x%28x%5E%7B2%7D%2B5%20x-2%29-1%28x%5E%7B2%7D%2B5%20x-2%29)
Multiply each term of first polynomial with each term of 2nd polynomial.
Multiply the numerical coefficient and add the powers of x.
![=3x^{3}+15 x^2-6x-x^{2}-5 x+2](https://tex.z-dn.net/?f=%3D3x%5E%7B3%7D%2B15%20x%5E2-6x-x%5E%7B2%7D-5%20x%2B2)
Add or subtract like terms together.
![=3x^{3}+14 x^2-11x+2](https://tex.z-dn.net/?f=%3D3x%5E%7B3%7D%2B14%20x%5E2-11x%2B2)
The answer for multiplying polynomials:
![1. -12 x^{5}+21 x^{2}](https://tex.z-dn.net/?f=1.%20-12%20x%5E%7B5%7D%2B21%20x%5E%7B2%7D)
![2. \ 12 x^2+8x-15](https://tex.z-dn.net/?f=2.%20%5C%20%2012%20x%5E2%2B8x-15)
![3. \ 3x^{3}+14 x^2-11x+2](https://tex.z-dn.net/?f=3.%20%5C%203x%5E%7B3%7D%2B14%20x%5E2-11x%2B2)
Answer:
x = 23.999996
Step-by-step explanation:
Let's solve your equation step-by-step.
64−x+52=128x
Solve Exponent.
64−x+52=128x
log(64−x+52)=log(128x)(Take log of both sides)
(−x+52)*(log(64))=x*(log(128))
−x+52=(
log(128)
log(64)
)*(x)
−x+52=1.166667*x
−x+52=1.166667x(Simplify both sides of the equation)
−x+52−1.166667x=1.166667x−1.166667x(Subtract 1.166667x from both sides)
−2.166667x+52=0
−2.166667x+52−52=0−52(Subtract 52 from both sides)
−2.166667x=−52
−2.166667x
−2.166667
=
−52
−2.166667
(Divide both sides by -2.166667)
x=23.999996
Sorry is this is wrong, did it in a hurry :(
Answer:
multiply 3 five times
Step-by-step explanation:
3×3×3×3×3
Answer:
It depends on what k is tbh. It could be true or false.
Step-by-step explanation:
k - 6 > 2
k - 6 + 6 > 2 + 6
k > 8