If I divide 28x^3-30x^2-67x-21 BY 7x+3...will I get 4x^2-10x-21? THEN 28x^3-30x^2-21THEN 14x^2-15x^2-21????
PLEASE HELP!!!
take a look at this page
http://www.purplemath.com/modules/polydiv2.htm
ok, so by the website, I am supposed to do this:
28x^3-30x^2-67x-21 / 7x+3 and I got x^2-3x+8
is that right??
thanks for the website
To divide the polynomial 28x^3 - 30x^2 - 67x - 21 by 7x + 3, you can use the long division method. Here's how you can do it step by step:
1. Start by dividing the first term of the dividend (28x^3) by the first term of the divisor (7x). This gives you 4x^2.
2. Multiply the divisor (7x + 3) by the quotient you just found (4x^2). This gives you 28x^3 + 12x^2.
3. Subtract the product obtained in step 2 from the original dividend (28x^3 - 30x^2 - 67x - 21 - 28x^3 - 12x^2). This simplifies to -42x^2 - 67x - 21.
4. Bring down the next term from the original dividend, which is -67x, and rewrite it with the simplified expression obtained in step 3: -42x^2 - 67x - 21.
5. Divide the first term of the new expression (-42x^2) by the first term of the divisor (7x). This gives you -6x.
6. Multiply the divisor (7x + 3) by the quotient you just found (-6x). This gives you -42x^2 - 18x.
7. Subtract the product obtained in step 6 from the simplified expression (-42x^2 - 67x - 21 - (-42x^2 - 18x)). This simplifies to -49x - 21.
8. Bring down the next term from the original dividend, which is -21, and rewrite it with the simplified expression obtained in step 7: -49x - 21.
9. Divide the first term of the new expression (-49x) by the first term of the divisor (7x). This gives you -7.
10. Multiply the divisor (7x + 3) by the quotient you just found (-7). This gives you -49x - 21.
11. Subtract the product obtained in step 10 from the simplified expression (-49x - 21 - (-49x - 21)). This simplifies to 0.
Therefore, after the long division process, there is no remainder, and the quotient is 4x^2 - 6x - 7.
In conclusion, the correct answer to the division is 4x^2 - 6x - 7, not 4x^2 - 10x - 21, 28x^3 - 30x^2 - 21, or 14x^2 - 15x^2 - 21.