Answer:
(x - 8)(2x + 3)
Step-by-step explanation:
To factor a polynomial of the form
ax² + bx + c,
follow these steps:
1) Multiply ac together.
2) Find 2 factors of ac that add to b. Call these factors p and q.
3) Break up the middle term of the polynomial into px + qx.
4) Factor by grouping.
Now let's follow the steps above with your problem.
You are given the polynomial
2x² - 13x - 24,
so a = 2, b = -13, and c = -24
1) Find ac.ac is the product 2(-24) = -48
2) Now we need to find 2 factors of -48 that add to b, -13.
I know that 48 = 3 × 16, so if we use -16 and 3 for the two numbers, we have
-16 + 3 = -13
and -16 × 3 = -48.
3) Now we break up the middle term of the polynomial, -13x, into -16x + 3x.
The polynomial is now
2x² - 16x + 3x - 24
4) We factor the polynomial by grouping. To factor by grouping, you factor a common factor out of the first 2 terms and factor out a common factor out of the last two terms.
2x² - 16x + 3x - 24 =
= 2x(x - 8) + 3(x - 8)
We now see the common factor of x - 8, so we factor that out.
= (x - 8)(2x + 3)
Answer: (x - 8)(2x + 3)
The population density of Romania in 1997 given its area and the population is 95 people per square km.
<h3>What is the population density?</h3>
Population density is the number of people that live in a square kilometer of an area. It is determined by dividing total population by total area.
Population density = population / area
22.600,000 / 237301 = 95 people per square km
To learn more about population density, please check:
brainly.com/question/3704320
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2(2d+4)=-3(d+2)
4d+8=-3d-6
4d+3d=-6-8
7d=-14
d=-14/7
d=-2
Answer:
5/4 is rational , 100 square root is irrational , 7.3 rational , 0.00247 is rational , 4/9 square root is irrational ,2/24 square root is irrational and 0.01 is rational :)
Answer:
I strongly believe that 8 percent of 500 is forty so I would say C. sorry if Im wrong.
Step-by-step explanation:
hope this helped
