SOLUTION: 1. divide 25b^3+15b^2+25b+38 divided by (5b+5) 2. factor completely 4a^2+49-28a 3. solve, simplify your answer. type an exact answer using radicals as needed. Rationalize all den

Algebra ->  Equations -> SOLUTION: 1. divide 25b^3+15b^2+25b+38 divided by (5b+5) 2. factor completely 4a^2+49-28a 3. solve, simplify your answer. type an exact answer using radicals as needed. Rationalize all den      Log On


   

Question 351502: 1. divide 25b^3+15b^2+25b+38 divided by (5b+5)
2. factor completely 4a^2+49-28a
3. solve, simplify your answer. type an exact answer using radicals as needed. Rationalize all denominators. Use a comma to separate answers.
4x^4-8x^2+3=0
4. Multiply. (3x+4)(9x^2+3x+9)
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
Please only submit ONE problem at a time.
1 +%2825b%5E3%2B15b%5E2%2B25b%2B38%29%2F+%285b%2B5%29+
I did long division on the problem, the reason i did the stars is so that you can see how everything lines up.

******5b^2-2b+7
5b+5**25b^3+15b^2+25b+38
****-(25b^3+25b^2)
***********-10b^2+25b+38
*********-(-10b^2-10b)
******************35b+38
****************-(35b+35)
***********************3 remainder
so the answer would be
5b%5E2-2b%2B7%2B3%2F%285b%2B5%29

2. factor completely 4a^2+49-28a
4a%5E2-28a%2B49+=+%282a-7%29%282a-7%29

3. solve, simplify your answer. type an exact answer using radicals as needed. Rationalize all denominators. Use a comma to separate answers.
4x^4-8x^2+3=0
Let y = x² to make it easier.
4y%5E2+-+8y+%2B+3+=+0
%282y+-+1%29%282y+-+3%29+=+0
y = 1/2 or 3/2
x^2 = 1/2 or 3/2
x+=+%28%2B1%29%2F%28sqrt%282%29%29 or x=%2B%28sqrt%283%29%29%2F%28sqrt%282%29%29 or
x+=+%28-1%29%2F%28sqrt%282%29%29 or x=-%28sqrt%283%29%29%2F%28sqrt%282%29%29
now we have to get rid of the radicals on the bottom, we do that by multiplying each answer by +sqrt%282%29%2Fsqrt%282%29+
x+=+%28sqrt%282%29%2F2%29 or x=%28sqrt%286%29%29%2F2%29 or
x+=+-%28sqrt%282%29%2F2%29 or x=-%28sqrt%286%29%29%2F2%29





4. Multiply. (3x+4)(9x^2+3x+9)