Answer:
x = -3 and x = -3/2
Step-by-step explanation:
After writing down the polynomial, split it; put a line between 3x^2 and -18x. Look and 2x^3 + 3x^2 and -18x - 27 separately and factor them both:
p(x) = 2x^3 + 3x^2 <u>- 18x -27</u>
p(x) = x^2(2x+3) <u>-9(2x+3)</u>
Now notice how x^2 and -9 have the same factor (2x+3). That means x^2 and -9 can go together:
p(x) = (x^2 - 9)(2x+3)
Factor it once more because there's a difference of squares:
p(x) = (x+3)(x-3)(2x+3)
Now just plug in whatever makes the each bracket equal 0:
x = -3, x = 3, and x = -3/2
Those are your zeros.
Answer:
10201
Step-by-step explanation:
=(101)²
=(100+1)²
={100²+2(100)(1)+1²} [(a+b)²=a²+2ab+b²]
=10000+200+1
=10201
Answer:
the answer is 18
Step-by-step explanation:
9root3/sin60
Answer:
9 buses will be needed but 9 bus will be empty there will be very small amount of fans in the 9th bus.
Answer:
5, 17
Step-by-step explanation:
For this problem, you need to create a system of equations.
We can name one number x and the other y.
First equation: 2x + 7 = y
Second equation: x + y - 10 = 12, or x + y = 22.
We know y = 2x + 7, so we can substitute that into the second equation.
x + 2x + 7 = 22.
3x = 15
x = 5.
Plug x back into the first equation:
2 · 5 + 7 = y.
y = 10 + 7
y = 17.
