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andreyandreev [35.5K]
3 years ago
14

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

Mathematics
2 answers:
n200080 [17]3 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]3 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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Answer:

  D.  $101,000 – $120,000

Step-by-step explanation:

The bar graph is not completely labeled, but in the context of the question it seems safe to assume that the vertical scale can be considered to represent relative frequency.

So, the shortest bar is the one with the lowest frequency. The horizontal scale identifies that as 101-120. If we assume that is salary in thousands of dollars, then Choice D is appropriate.

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2 years ago
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meriva

Answer:

Priya is right.

Step-by-step explanation:

The factors of 80 is 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factor pairs of 80 are

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If Priya picks 2 x 40, then it's prime factorisation will be, 2 x 2 x 2 x 2 x 5 = 2⁴ x 5.

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Therefore, Priya is correct, because the factors of 80 are always the same, therefore which ever you start with, you'd always get the same answer.

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