Factor completely 4x^3 + 8x^2 − 25x − 50.

2 answers:

n200080 [17]4 years ago

8 0

<span>First factor like terms
4x³ + 8x² - 25x - 50
4x²(x + 2) - 25(x + 2)

See that the factor in parenthesis is the same? Because they are the same, you can pair the outside factors together in a parenthesis.

(4x² - 25)(x+2)

factor (4x² - 25) = (2x + 5)(2x - 5)

= (2x - 5)(2x + 5)(x + 2)
</span>

matrenka [14]4 years ago

3 0

Hello there!

$\boxed{ (((4 * (x^3)) + 23x^2) - 25x) - 50} \\ \\ \boxed{ ((2^2x^3 + 23x^2) - 25x) - 50} \\ \\ 4x3+8x2-25x-50 \ (is \ not \ a \ perfect \ cube.) \\ \\ We \ then \ factor \ \boxed{\boxed{ (2x + 5) * (2x - 5) }} \\ \\ (FINAL \ RESULT) \\ \\ \left[\begin{array}{ccc}\boxed{(2x - 5)(2x + 5)(x + 2)}\end{array}\right]$

Your correct answer would be (option c).

I hope this helps you!

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The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of app

AfilCa [17]

Answer:

$Q(t) = 4.5(1.013)^{t}$

The world population at the beginning of 2019 will be of 7.45 billion people.

Step-by-step explanation:

The world population can be modeled by the following equation.

$Q(t) = Q(0)(1+r)^{t}$

In which Q(t) is the population in t years after 1980, in billions, Q(0) is the initial population and r is the growth rate.

The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of approximately 1.3%/year.

This means that $Q(0) = 4.5, r = 0.013$