Evaluate using order of operation and please show work
1 answer:
Answer:
10
Step-by-step explanation:
Given expression:
20 -
To solve this problem, we use the order of operation:
P - Parentheses
E - exponents
M - multiplication
D - division
A - Addition
S - Subtraction
Now solve the parentheses first;
= 20 -
= 20 -
Now solve the exponents:
= 20 -
Now solve the division:
= 20 -
= 20 - 10
= 10
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now, let's recall the rational root test, check your textbook on it.
so p = 18 and q = 1
so all possible roots will come from the factors of ±p/q
now, to make it a bit short, the factors are loosely, ±3, ±2, ±9, ±1, ±6.
recall that, a root will give us a remainder of 0.
let us use +3.
well, that one worked... now, using the rational root test, our p = 6, q = 1.
so the factors from ±p/q are ±3, ±2, ±1
let's use 3 again
and of course, we can factor x²-x-2 to (x-2)(x+1).
(x-3)(x-3)(x-2)(x+1).