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3 years ago

X 3 + 14x 2 + 59x + 70 = (x + 2)(x + 5)(x + a0)

Mathematics

2 answers:

Klio2033 [76]3 years ago

5 0

A0 = 7 because 2 * 5 * 7 = 70

erma4kov [3.2K]3 years ago

5 0

Answer:

Step-by-step explanation:

$x^3 + 14x^2 + 59x + 70 = (x + 2)(x + 5)(x + a_0)$

Here a0 is a constant

To find the value of a0 we multiply all the constant terms and make it equal to constant 70

2 times 5 times a0 is 10a_0

$10a_0=70$

Divide both sides by 10

$a_0= 7$

So, the value of a_0 is 7

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Answer:

$\boxed{a_n \: = \: 64 \: \times \: ( - \frac{3}{4} ) ^{n \: - \: 1} }$

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We deduce that it is the common ratio because it is the same between each pair.

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We use the first term and the common ratio to describe the equation:

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<h3>We apply the data in this formula:</h3>

$\boxed{a_n \: = \: a_1 \: \times \: {r}^{ n \: - \: 1} }$

_______________________

<h3>We apply:</h3>

$\boxed {\bold{a_n \: = \: 64 \: \times \: {( - \frac{3}{4} )}^{ n \: - \: 1} }}$

<u>Data</u>: The unknown "n" is the term you want

<h3><em><u>MissSpanish</u></em></h3>

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