<span>I note that this problem starts out with "Which is a factor of ... " This implies that you were given several answer choices. If that's the case, it's unfortunate that you haven't shared them.
I thought I'd try finding roots of this function using synthetic division. See below:
f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation. Thanks.
Possible zeros of this poly are factors of 35: plus or minus 1, plus or minus 5, plus or minus 7. Use synthetic division; determine whether or not there is a non-zero remainder in each case. If none of these work, form rational divisors from 35 and 6 and try them: 5/6, 7/6, 1/6, etc.
Provided that you have copied down the function
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35 properly, this approach will eventually turn up 1 or 2 zeros of this poly. Obviously it'd be much easier if you'd check out the possible answers given you with this problem.
By graphing this function, I found that the graph crosses the x-axis at 7/2. There is another root.
Using synth. div. to check whether or not 7/2 is a root:
___________________________
7/2 / 6 -21 -4 24 -35
21 0 -14 35
----------- ------------------------------
6 0 -4 10 0
Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial. Thus, (x-3.5), or (x-7/2), is a factor.
4848 inches is how long the bike will be
Answer:
528 cm²
Step-by-step explanation:
First I would calculate the area of the side rectangles:
20 x 9 = 180 cm²
There are two identical rectangles on both sides so i would x2
180 x 2 = 360 cm²
The area of the middle rectangle:
6 x 20 = 120 cm²
The area of the triangles:
Area of a triangle = (Base x Height)/2
8 x 6 = 48
48 ÷ 2 = 24
There are two identical triangles on the bottom and the top so x2
24 x 2 = 48
Now add all the values up:
360 + 120 + 48 = 528 cm²
I hope this helps!
Answer:
provided an easy explanation to give answer below
Step-by-step explanation:
prime numbers are only divisible by 1 and themselves.
2 - 10 prime numbers are
2 3 5 and 7
full list up to 81
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 and 79
