Answer:
see explanation
Step-by-step explanation:
To find the zeros let p(x) = 0 , that is
(x² - 1)(x² - 5x + 6) = 0
Factorise each factor
x² - 1 ← is a difference of squares and factors as (x - 1)(x + 1)
x² - 5x + 6 = (x - 2)(x - 3), thus
(x - 1)(x + 1)(x - 2)(x - 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x + 1 = 0 ⇒ x = - 1
x - 2 = 0 ⇒ x = 2
x - 3 = 0 ⇒ x = 3
The zeros are x = ± 1, x = 2, x = 3
I must assume that by "15x2 - 44x - 36" you actually meant "<span>15x^2 - 44x - 36." Use " ^ " to denote exponentiation, please.
One by one, take each of the following sets of possible factors and mult. them out to determine whether the result equals </span>15x^2 - 44x - 36:
<span>
(5x - 9)(3x + 4)
(3x - 4)(5x + 9)
(5x - 18)(3x + 2)
(5x + 18)(3x - 2)
First one: use the "foil" method: (5x)(3x) + 20x - 27x - 36. This does not simplify to </span>15x^2 - 44x - 36 and so is not the correct choice. Go on to the second answer choice and continue this check.
A subtraction problem can be turned in to an addition problem because of negative numbers. Take 5-2=3 for example. If you change 5-2 into an addition problem then you would but he addition sign and a negative sign on 2. This will then leave you with the problem looking like 5+ -2. If you add 5 and -2 you will still get three.
Answer:
D. x > -4 or x < -8
Step-by-step explanation:
I don’t think it is, sorry I’m not 100% sure, good luck though