what is the answer for x squared + 9 divided by -x-4??
a strange division indeed
using long division I got -x + 4 + 25/(-x-4)
Do you know how to do long division algebraically?
Yes, I can explain how to solve the division algebraically. The given expression is (x^2 + 9) / (-x - 4). To divide algebraically, you can use the method of polynomial long division. Here's a step-by-step explanation:
Step 1: Divide the first term of the numerator, x^2, by the first term of the denominator, -x. The result is -x.
Step 2: Multiply the entire denominator, -x - 4, by the value obtained in step 1, -x. This gives you -x(-x - 4) = x^2 + 4x.
Step 3: Subtract the result obtained in step 2 from the numerator (x^2 + 9) and write the difference under the line, like in long division. (x^2 + 9) - (x^2 + 4x) = 9 - 4x.
Step 4: Bring down the next term from the numerator, which is the constant term 9.
Step 5: Divide the term brought down, 9, by the first term of the denominator, -x. The result is -9x.
Step 6: Multiply the entire denominator, -x - 4, by the value obtained in step 5, -9x. This gives you (-9x)(-x - 4) = 9x^2 + 36x.
Step 7: Subtract the result obtained in step 6 from the previous difference (9 - 4x) and write the new difference under the line, like in long division. (9 - 4x) - (9x^2 + 36x) = -9x^2 - 40x + 9.
Step 8: At this point, you have reached the end of the division process because the degree of the new difference (-9x^2 - 40x + 9) is less than the degree of the denominator (-x - 4).
Step 9: The final expression, including the remainder, is: -x + 4 + (remainder / divisor). The remainder is -9x^2 - 40x + 9, and the divisor is -x - 4.
So, the answer to the given expression x^2 + 9 divided by -x - 4 is -x + 4 + (-9x^2 - 40x + 9) / (-x - 4).