Answer:
(x - 5)(x + 3)
Step-by-step explanation:
to solve x² - 2x = 15, we need to get all the terms on one side so we can solve the quadratic equation using factoring. to do this, we subtract 15 from both sides
x² - 2x = 15
- 15 -15
x² - 2x - 15 = 0
now we can factor. we need 2 numbers that when multiplied together give us -15, and when those 2 numbers are added together we get -2
because we have a -15, we can assume that one number must be negative and the other positive, as a negative times a postive is a negative.
we can use 3 and -5 as factors and test it out. we put x in front because we have an x²
(x - 5)(x + 3) < we can FOIL to check to see if this is correct. its not mandatory to check but when you arent sure of the answer you can FOIL it out
FOIL stands for: First, Outside, Inside, and Last terms
F: (x - 5)(x + 3) = x²
O: (x - 5)(x + 3) = -3x
I: (x - 5)(x + 3) = 5x
L: (x - 5)(x + 3) = -15
x² + 3x - 5x - 15 < subtract 3x from 5x
x² - 2x - 15
this checks out, so our answer is (x - 5)(x + 3)
Answer:
It will take 5 stages to reach the surface.
Step-by-step explanation:
-225/50=4.5 or what times 4.5 equals -225
Hope this helps.
Step-by-step explanation:
588 × 40 = 23,520 math problems they would solve that evening
Answer:
Yes, (x - 3) is a factor of P(x) and 3 is a zero or root of P(x)
Step-by-step explanation:
Determine whether or not (x - 3) is a factor by using synthetic division with +3 as the divisor. The coefficients of the polynomial p(x) are {2 -5 -4 0 9}.
Setting up synthetic division:
3 / 2 -5 -4 0 9
6 3 -3 -9
-------------------------------
2 1 -1 -3 0
Since the remainder is zero (0), we know that 3 is a root of the polynomial P(x) and that (x - 3) is a factor of said polynomial.
2/3(3) = 6/3 = 2 cups almonds
5/8(2) = 10/8 = 1 1/4 cups raisins
