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2 years ago

Which shows one way to determine the factors of x^3-12x^2-2x+24 by grouping

Mathematics

1 answer:

dezoksy [38]2 years ago

7 0

Answer:

(x - 12)(x² - 2)

Step-by-step explanation:

Given

x³ - 12x² - 2x + 24 ( factor the first/second and third/fourth terms )

= x²(x - 12) - 2(x - 12) ← factor out (x - 12) from each term

= (x - 12)(x² - 2)

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Help with this question anyone?

Art [367]

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3 years ago

Simplify expression <br><br><br>A.

MA_775_DIABLO [31]

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2 years ago

Solve for the equation for all x values by completing the square x^2 - 27= 67

navik [9.2K]

Answer:

The solutions for the equation $x^2\:-\:27=\:67$ are $x=\sqrt{94},\:x=-\sqrt{94}$ .

Step-by-step explanation:

To find the solutions for the equation $x^2\:-\:27=\:67$ you must:

$\mathrm{Add\:}27\mathrm{\:to\:both\:sides}\\\\x^2-27+27=67+27$

$\mathrm{Simplify}\\\\x^2=94$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{94},\:x=-\sqrt{94}$

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3 years ago

Whats the ratio of 200 over 40 and 25 over x

otez555 [7]

I believe the answer is 5.

200 divided by 25 is 8

40 divided by 8 is 5

8 0

3 years ago

For the sequence 3, 8, 13, 18, 23, ….: (i) Find recursive and non-recursive formulas. (ii) Prove the non-recursive formula using

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

Given is the sequence 3, 8, 13, 18, 23, ….:

We find that this is a geometric sequence with each term added with 5 to the previous term

Hence recursive formula is $a_n =a_{n-1} +5$

Non recursive formula:

$a_n =a_{n-1} +5=a_{n-2} +2(5)\\=a_{n-3} +3(5)-...\\=a_{n-(n-1)} +5(n-1)\\=a_1+(n-1)5\\=3+5n-5\\=5n-2$

iii) Start with 3.

Add 5 and write as 2nd term

Take the resulting term and add 5 and mark as 3rd term

Repeat this m times.

7 0

3 years ago