Hello!
Answer:
(x + 1).
Step-by-step explanation:
Begin by using the rational root theorem to find possible factors of this equation.
We get the following:
±1, ±3, ±1/2, ± 3/2
We can use synthetic division to check numbers to see if they are a factor of the equation. After checking the possible numbers, -1 was found to produce a remainder of 0 when calculated:
-1 | 2 1 -4 -3
+ -2 1 3
2 -1 -3 0
Therefore, x = -1 is a possible root of this equation. Writing this as a factor would become:
x = -1
x + 1 = 0
(x + 1) is the factor.
I hope this helped you!
Let x = number of problems on test
If he got 14 wrong, then x - 14 is the number correct.
![\frac{x-14}{x} = .72 ](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx-14%7D%7Bx%7D%20%3D%20.72%0A)
x - 14 = .72x
.28x - 14 = 0
.28x = 14
x = 50
The test consisted of 50 problems.
Answer:
96 postcards
Just multiply 12 my 8. Since we have the ammount of postcards Jennifer has, the second sentence simply tells us that we need to multiply it by 8 because Frieda had 8 times the ammount as Jennifer did.
Answer:
<u>a</u><u> </u><u>=</u><u> </u><u>3</u><u> </u><u>and</u><u> </u><u>b</u><u> </u><u>=</u><u> </u><u>2</u>
Step-by-step explanation:
From completion of squares:
![{x}^{2} - 6x + 7 = 0 \\ \{ {x}^{2} - 6x + { (\frac{6}{2} )}^{2} \} + 7 - {( \frac{6}{2}) }^{2} = 0 \\ ( {x}^{2} - 6x + {3}^{2} ) = 2 \\ { \boxed {{(x - 3)}^{2} = 2}}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20%2B%207%20%3D%200%20%5C%5C%20%20%5C%7B%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20%20%2B%20%20%20%7B%20%28%5Cfrac%7B6%7D%7B2%7D%20%29%7D%5E%7B2%7D%20%5C%7D%20%2B%207%20%20%20-%20%20%20%7B%28%20%5Cfrac%7B6%7D%7B2%7D%29%20%7D%5E%7B2%7D%20%20%3D%200%20%5C%5C%20%20%20%28%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20%20%2B%20%20%7B3%7D%5E%7B2%7D%20%29%20%20%3D%202%20%5C%5C%20%7B%20%5Cboxed%20%7B%7B%28x%20-%203%29%7D%5E%7B2%7D%20%20%3D%202%7D%7D)
a is 3
b is 2