2,700
+45??
2,740+5 ??? sorry i hope i helped
Answer:
p(x) = x⁶- 2x⁵- 10x⁴ + 20x² + 9x - 18
d(x) = (x - 2)
r = 0
f(x) = x⁵ - 10x³ + 9
Step-by-step explanation:
From the synthetic division given in the question,
Polynomial p(x) = x⁶- 2x⁵- 10x⁴ + 20x² + 9x - 18
Divisor d(x) = (x - 2)
After synthetic division of this polynomial by 2 we get the remainder,
r = 0
And the new polynomial f(x) that can be used further to find the other factors will be,
f(x) = x⁵ + (0).x⁴ + (-10)x³ + (0).x² + 9
f(x) = x⁵ - 10x³ + 9
Answer:
x = -5 ±4sqrt(3)
Step-by-step explanation:
(x + 5)^2 = 48
Take the square root of each side
sqrt((x + 5)^2) = ±sqrt(48)
x+5 = ±sqrt(16*3)
x+5 = ±4sqrt(3)
Subtract 5 from each side
x = -5 ±4sqrt(3)
Answer:
(-6,2)
Step-by-step explanation:
![x = - 6 \\ x - y = - 8](https://tex.z-dn.net/?f=x%20%3D%20%20-%206%20%5C%5C%20x%20-%20y%20%3D%20%20-%208)
<u>Substitution</u>
Substitute x = -6 from the first equation in the second equation.
![- 6 - y = - 8 \\ - 6 + 8 = y \\ 2 = y](https://tex.z-dn.net/?f=%20-%206%20-%20y%20%3D%20%20-%208%20%5C%5C%20%20-%206%20%20%2B%208%20%3D%20y%20%5C%5C%202%20%3D%20y)
Normally, we have to substitute either x-term or y-term in one of the equation to get another term. For this situation, we already know the value of x so It is not necessary to substitute the y-value.
<u>Answer</u><u> </u><u>Check</u>
We have to check the answer to make sure that we have got the right answer.
We can check the answer by substituting both x-value and y-value in the equation.
![x - y = - 8](https://tex.z-dn.net/?f=x%20-%20y%20%3D%20%20-%208)
Substitute x = -6 and y = 2 in the equation.
![- 6 - 2 = - 8 \\ - 8 = - 8](https://tex.z-dn.net/?f=%20-%206%20-%20%202%20%3D%20%20-%208%20%5C%5C%20%20-%208%20%3D%20%20-%208)
The equation is true. Therefore, our answer is (-6,2)