please, somebody help me
Divide. x^2+7x-37/x+9.
Please help me. I need all the help I can get. Thank you so much.
The division is done exactly the same way as the long division of numbers. The example is difficult to illustrate because we do not have the flexibility of alignment of characters at this forum.
I therefore refer to an article which explains in detail how this can be done.
If you have questions, please post.
http://www.sosmath.com/algebra/factor/fac01/fac01.html
Thank you for your prompt response. I have my homework I have to turn in in about 2 hours, but i am struggling to solve this question. Is there any way you can just give me the answer while I find a website that can show me step by step how to solve these kind of problems? I would be grateful to you. Thank you. x^2+7x-37/x+9.
Example:
x^2-7x-37/x-9
x^2-7x-37
Multiply x-9 by x to match the first term x^2
x^2-9x
Subtract
0x^2+2x-37
Again, multiply x-9 by +2 to get
0x^2+2x-18
subtract
0x^2+0x-19
So the answer is x+2 with remainder -19.
You can solve your problem in a similar way.
Post your answer for a check if you wish.
To divide the given expression, x^2+7x-37, by x+9, we can use polynomial long division. Here is a step-by-step explanation on how to do it:
1. Start by writing the expression in the format of long division, with the dividend (x^2+7x-37) inside the division symbol and the divisor (x+9) outside:
__________________________________
x + 9 | x^2 + 7x - 37
2. Divide the first term of the dividend (x^2) by the first term of the divisor (x). Write the result (x) above the long division bar.
x
__________________________________
x + 9 | x^2 + 7x - 37
3. Multiply the divisor (x+9) by the quotient (x): (x)(x+9) = x^2 + 9x. Write this product underneath the dividend, aligning it with the appropriate terms.
x
__________________________________
x + 9 | x^2 + 7x - 37
x^2 + 9x
4. Subtract the product (x^2 + 9x) from the dividend (x^2 + 7x - 37). Write the result below the subtraction line.
x
__________________________________
x + 9 | x^2 + 7x - 37
x^2 + 9x
_______________
-2x - 37
5. Bring down the next term from the dividend, which is -37. Write it next to the result of the subtraction.
x
__________________________________
x + 9 | x^2 + 7x - 37
x^2 + 9x
_______________
-2x - 37
- 37
6. Repeat steps 2-5 with the new dividend (-2x - 37) until there are no more terms left to bring down.
In this case, the long division process continues as follows:
7. Divide the first term of the new dividend (-2x) by the first term of the divisor (x): (-2x)/(x) = -2. Write this result above the division symbol.
x - 2
__________________________________
x + 9 | x^2 + 7x - 37
x^2 + 9x
_______________
-2x - 37
-2x - 18
8. Multiply the divisor (x+9) by the new quotient (x - 2): (x+9)(-2) = -2x - 18. Write this product underneath the new dividend.
x - 2
__________________________________
x + 9 | x^2 + 7x - 37
x^2 + 9x
_______________
-2x - 37
-2x - 18
9. Subtract the product (-2x - 18) from the new dividend (-2x - 37) and write the result below the subtraction line.
x - 2
__________________________________
x + 9 | x^2 + 7x - 37
x^2 + 9x
_______________
-2x - 37
-2x - 18
______
-19
10. There are no more terms to bring down, so the division is complete. The quotient is x - 2 and the remainder is -19.
Therefore, the result of dividing x^2 + 7x - 37 by x + 9 is x - 2, with a remainder of -19.