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Serggg [28]
3 years ago
7

Factorise x^2 + 10x + 16

Mathematics
2 answers:
alex41 [277]3 years ago
6 0
Answer: (x+8)(x+2) = x^2 + 10x + 16
Furkat [3]3 years ago
3 0

Answer: (x+2)(x+8)

Step-by-step explanation:

1) First, we need to see which number multiplies to 16 and adds up to 10.

By looking at the factors of 16, we can see that only 2 and 8 will work.

2) Now, we need to arrange them in the factorized equation, which is always

(x+r)(x+q).

3) This will give us our final equation:

(x+2)(x+8)

If you want the roots, just do the negation of r and q and you will get it!

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3 years ago
Which of the following geometric series converges?
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All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is

S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}

Multiply both sides by <em>r</em> :

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Subtract the latter sum from the first, which eliminates all but the first and last terms:

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Solve for S_n:

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