athlblue wrote:
synthetic division is just long division
Yea, but can u divide with the x
HELP! (warning math ahead)
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3 days ago
0
#23
make like the square roots thing like, "Square root of blank"
Subject: Re: help with this math problem
Hey,
Here is the rest of the work to finish up that problem from your screenshot, writing out the radical parts so it's easier to read.
The image already did the long division part to find the first factor (x + 2), which left behind the quadratic part: x^2 - 6x + 2.
Since we can't easily break that quadratic down by tracking down whole numbers that multiply to 2 and add to -6, we have to use the quadratic formula to get the last two pieces.
Here is how it breaks down:
1. Plug it into the quadratic formula
Using a = 1, b = -6, and c = 2, the formula gives us:
Using a = 1, b = -6, and c = 2, the formula gives us:
- x = (6 plus or minus the square root of 28) divided by 2
2. Simplify the radical
You can break down the square root of 28 into the square root of (4 times 7). Since the square root of 4 is 2, this simplifies to:
You can break down the square root of 28 into the square root of (4 times 7). Since the square root of 4 is 2, this simplifies to:
- 2 times the square root of 7
Now put that back into the fraction:
- x = (6 plus or minus 2 times the square root of 7) divided by 2
Divide both terms on top by the 2 on the bottom to clean it up:
- x = 3 plus or minus the square root of 7
3. Put it all together
This gives you your last two roots:
This gives you your last two roots:
- (3 plus the square root of 7)
- (3 minus the square root of 7)
To write them as factors, you flip the signs inside the parentheses. Toss those right next to the original (x + 2) factor from the start of the problem, and you're completely done:
- f(x) = (x + 2)(x - 3 - square root of 7)(x - 3 + square root of 7)
Let me know if any of those steps feel a bit fuzzy or if you want to run through another one together!
Fastman45824 wrote:
I dont understand this explanation. I have to take a quiz on this lesson but dont understand the lesson.
this is grade 10 right?
1 day ago
0
#27
EntityMC wrote:
Fastman45824 wrote:
I dont understand this explanation. I have to take a quiz on this lesson but dont understand the lesson.
this is grade 10 right?
nah collage pre calculus
Bruh XD school math is brutal and useless lol. College math was barely at that lol. ( I’m dual enrolled in high school and college but I’m not an old guy guys dw, I’m 15) finances are the only important thing in life, I mean…when your walking around in life, unless your a rocket scientist, when are u using that formula lol
which collage classes have u taken ???
English 101-102, Bible108, math 105, and Business 101
Oh nice. I did English 101 collage algebra, currently doing precalculus and ENG 102. I also started american history