x^4+4x^2+16 divided by x^2-2x+4
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Answer:
Two dies are thrown, Write down the sample space 'S', number of sample points n(s). Mention the events and find the probability of each event. Event A: The sum of the scores on the uppermost faces is a prime number. Event B: The sum of the scores on the uppermost faces is an even number. Event C: The sum of the scores on the uppermost faces is a less than 5. Event D: The sum of the scores on the uppermost faces is a less than 7. Event E: The sum of the scores on the uppermost faces is a less than 8. Event F: The sum of the scores on the uppermost faces is a more than 6. Event G: The sum of the numbers on their upper faces is divisible by 11. Event H: The sum of the numbers on their upper faces is divisible by 6. Event I: The sum of the numbers on their upper faces is divisible by 9. Event J: The sum of the numbers on their upper faces is divisible by 3.
Answer:
Hope it helps
Step-by-step explanation:
4.2 Factoring x4 - 2x2 - 8
The first term is, x4 its coefficient is 1 .
The middle term is, -2x2 its coefficient is -2 .
The last term, "the constant", is -8
Step-1 : Multiply the coefficient of the first term by the constant 1 • -8 = -8
Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is -2 .
-8 + 1 = -7
-4 + 2 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 2
x4 - 4x2 + 2x2 - 8
Step-4 : Add up the first 2 terms, pulling out like factors :
x2 • (x2-4)
Add up the last 2 terms, pulling out common factors :
2 • (x2-4)
Step-5 : Add up the four terms of step 4 :
(x2+2) • (x2-4)
Which is the desired factorization