What is the factored form of
6x^2 -4x + 15x - 10

(3x-2)(2x+5)

or

(2x+5)(3x-2) by commutative property

Step-by-step explanation:

Let's try factoring by grouping.

I'm going to group the first two terms together and the second two terms together.

Now I'm going to factor what I can from each pair:

Now if you look at the terms 2x(3x-2) and 5(3x-2) you should see they have a common factor of (3x-2) so we can factor that out now.

(3x-2)(2x+5)

Factoring by grouping was a successful here.

(3x - 2)(2x + 5)

Step-by-step explanation:

Given

6x² - 4x + 15x - 10 ( factor the first/second and third/fourth terms )

=2x(3x - 2) + 5(3x - 2) ← factor out (3x - 2) from each term

= (3x - 2)(2x + 5) ← in factored form

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

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