F(1) = 0 tells you that wherever you see an x, you put in a one. When you do, the answer comes out as 0
So one of he factors for f(x) is
f(x) = (x -1) * g(x)
If you put an 1 into (x - 1) you get (1 - 1) = 0
The whole thing goes to zero when that happens.
If you split up g(x) so that when x = - 2, the whole polynomial goes to 0 just as what happened with x = 1
f(x) = (x - 1) (x + 2) * h(x)
When x = 3 the same thing happens.
f(x) = (x - 1)(x + 2)(x - 3) and that's your complete answer.
Answer:
C
Step-by-step explanation:
substitute -1 into all of the formulas, if both sides are equal, then it is correct, for C:
2(x-2)+6 = 0, sub -1
2(-1-2)+6=0, simplify and work out
2(-3)+6=0
-6+6=0
0=0
Answer:
y² + y + 
= (y + 
)²
Step-by-step explanation:
In most cases, we can factor a polynomial, or quadratic, by looking at the factors of the last term. In this case, the last term is . When we factor a polynomial, we are looking for two expressions that when multiplied together using FOIL (forward-outside-inside-last) will give us the polynomial. For example: (a + b)(a + b) or (a+ b)².
In order to get y² + y + , we are looking for a 'c' value that will add up to '1' which is our 'b' value (ay² + by + c).
Since 
Then, we can use as our factor for both expressions. Putting this together we get: (y + )(y + ) or (y + )²
Answer:
14
Explanation:
The given triangle is a right-angled triangle. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
Now, we have:
θ = 40°
opposite = 12 m
adjacent is the distance we want to find
Substitute with the givens in the tan formula to get the distance as follows:
tan (40) = 12 / distance
distance = 12 / tan (40)
distance = 14.3 which is approximately 14 m
Hope this helps :)
