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irina [24]
3 years ago
15

Factoring as a product of two binomials x2+10x+24

Mathematics
2 answers:
GarryVolchara [31]3 years ago
8 0

Answer:

(x + 6)(x + 4)

Step-by-step explanation:

Given

x² + 10x + 24

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (+ 10)

The factors are 6 and 4, since

6 × 4 = 24 and 6 + 4 = 10, thus

x² + 10x + 24 = (x + 6)(x + 4)

MrMuchimi3 years ago
5 0

That can be factored to:

(x+6)(x+4)

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Determine the number of terms, n, given the geometric series 1 3 9 27 ... and sn=3280.
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The number of terms, 'n' is 8

<h3 /><h3>How to determine the number of terms</h3>

Let's determine the common ratio;

common ratio, r = 3/1 = 3

The formula for sum of geometric series with 'r' greater than 1 is given as;  Sn = a( r^n - 1) / (r - 1)

n is unknown

Sn = 3280

Substitute the value

3280 = 1 ( 3^n - 1) / 3- 1

3280 = 3^n -1 /2

Cross multiply

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This could be represented as;

3^8 = 3^n

like coefficient cancels out

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Learn more about geometric series here:

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Step-by-step explanation:

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