Divide.
(25x^2 - 40x + 18) div. (5x - 3)
need to know how to solve this
Yes, C
I don't want to seem impatient, but can someone help please? I need this asap, I DON'T want you to think I'm being impatient tho...
OH !!
remainder allowed
just do long division
5x - 5
with remainder of 3
so
5x - 5 and 3/(5x-3)
try factoring the top.
If this problem is possible, a factor is (5x-3)
(5x-3)( 5x +or-6 to get 18)
(5x-3)(5x-6)
hey are you sure it was not
25 x^2 -45 x + 18 ?????
I can check
it was 40
here are the answer choices:
5x - 5 - 3/5x - 3
5x - 8 - 18/5x - 3
5x - 5 + 3/5x - 3
5x - 14
So C?
okay.. thanks
To divide the polynomial (25x^2 - 40x + 18) by (5x - 3), you need to perform polynomial long division. Here's how to solve it step by step:
Step 1: Arrange the polynomials in descending order of powers of x. If any term is missing, add a placeholder term with a zero coefficient.
The given polynomial: 25x^2 - 40x + 18
Divisor polynomial: 5x - 3
Step 2: Divide the first term of the dividend by the first term of the divisor. Write the quotient above the division bar and multiply the quotient by the divisor.
In this case, divide (25x^2) by (5x), which gives 5x. Write 5x above the division bar.
5x
-----------
(5x - 3) | 25x^2 - 40x + 18
Step 3: Multiply the entire divisor by the quotient obtained in step 2.
Multiply (5x - 3) by 5x, which gives 25x^2 - 15x. Place this below the dividend.
5x
------------
(5x - 3) | 25x^2 - 40x + 18
25x^2 - 15x
Step 4: Subtract the product obtained in step 3 from the dividend. Write the result below the subtraction line.
Subtract (25x^2 - 15x) from (25x^2 - 40x), which gives -25x. Write -25x below the subtraction line.
5x
------------
(5x - 3) | 25x^2 - 40x + 18
25x^2 - 15x
-------
-25x
Step 5: Bring down the next term from the dividend.
Bring down the next term, which is 18, below the subtraction line.
5x
------------
(5x - 3) | 25x^2 - 40x + 18
25x^2 - 15x
-------
-25x + 18
Step 6: Repeat steps 2-5 with the new polynomial.
Divide (-25x + 18) by (5x - 3), which gives -5. Write -5 above the division bar.
5x - 5
------------
(5x - 3) | 25x^2 - 40x + 18
25x^2 - 15x
-------
-25x + 18
-25x + 15
-------
3
Step 7: Check if any terms are left. If not, the division is complete.
Since there are no more terms left, the division is complete. The quotient is 5x - 5, and the remainder is 3.
Therefore, the result of dividing (25x^2 - 40x + 18) by (5x - 3) is:
Quotient: 5x - 5
Remainder: 3