2. Add: Simplify and state the domain.
2 answers:
Answer:
see explanation
Step-by-step explanation:
+
← factor the denominators
= +
= +
← simplify numerator
=
=
The denominator cannot be zero as this would make the rational function undefined
Equating the denominator to zero and solving gives the values of x that cannot be in the domain
5(x + 2)(x - 4) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 4 = 0 ⇒ x = 4
x = - 2, x = 4 ← excluded values
domain : x ∈ R ( x ≠ - 2, x ≠ 4 )
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Answer:
Step-by-step explanation:
You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.
Do . Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.
Now do . Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:
Your final step is to do . Write this -2 next to your other two parts
Multiply -2 by (x - 3) to get:
Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:
times