Factor 6x^4 - 5x^2+12x^2-10 by grouping. what is the resulting expression?
2 answers:
Answer:
Factorized form of the expression will be (x² + 2)(6x²- 5).
Step-by-step explanation:
In the given expression we have to factorize it by grouping.
For which we will divide the expression in 2 groups as below.
=
Now we take the common terms x² from first term and 2 from second group.
= x²(6x² - 5) + 2(6x² - 5)
= (x² + 2)(6x² - 5)
Therefore, resulting expression after factorization will be (x² + 2)(6x² - 5)
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Answer:
(a)
if then
and if x<0 then
(b)
That is straightforward from what you showed on theorem 3.25
(c)
Following the same ideas from (a) x>a or -x > a.
Step-by-step explanation:
Remember how we define the absolute value of a number.
(a)
In general
Therefore if you have two cases, if
then
and if x<0 then
(b)
That is straightforward from what you showed on theorem 3.25
(c)
Following the same ideas from (a) x>a or -x > a.