Answer:
3
- 11
- 4x³ + 3x² + x
Step-by-step explanation:
(x³ - 4x² + 1)(3x² + x)
Each term in the second factor is multiplied by each term in the first factor, that is
x³(3x² + x) - 4x²(3x² + x) + 1 (3x² + x) ← distribute parenthesis
= 3 + - 12 - 4x³ + 3x² + x ← collect like terms
= 3 - 11 - 4x³ + 3x² + x
I hope this helps, sorry for my messy handwriting. If you have any questions feel free to ask me!
C; a percent is out of 100. All you have to do is change the denominator into 100. Since 5x20=100, you have to multiply 3/5 top and bottom by 20. Your product should be 60.
In order to get the x-intercept you need to get the x term alone on one side of the equation and likewise with y.
X= first integer
21-x= second integer
(x)(21-x)= 108
multiply x by each term in parentheses
21x - x^2= 108
subtract 108 from both sides
21x - x^2 - 108= 0
-x^2 + 21x - 108= 0
multiply whole equation by -1 to eliminate the negative coefficient in the first term
(-1)(-x^2 + 21x - 108)= 0
x^2 - 21x + 108= 0
factor (remember we need #s to add to 21 and multiply to 108)
(x-12)(x-9)= 0
x-12= 0
x= 12
x-9= 0
x= 9
CHECK:
9 + 12= 21
9 * 12= 108
ANSWER: The two positive integers that add to 21 and multiply to 108 are 12 and 9.
Hope this helps! :)
