Question

What is the factored form of each expression?
1. s^4-16
2. d^2-14d+45

Answer 1

No. 1. This is an expression you should begin to recognize. It is the difference of two perfect squares like :\[(a ^{2}-b ^{2})\]which is factored by \[(a+b)(a-b)\]

Answer 2

\[s ^{4}-16=(s ^{2}+4)(s ^{2}-4)=(s ^{2}+4)(s+2)(s-2)\]

Answer 3

A. (s-2)^2(s+2)^2
B. (s-2)(s+2)
C. (s-i)(s+i)(s+2)
D. (s-2i)(s+2i)(s-2)(s+2)

Answer 4

Thats the answers to 1. hold on and ill type 2

Answer 5

A. (d+9)(d+5)
B. (d+9)(d-5)
C. (d-9)(d+5)
D. (d-9)(d-5)

Answer 6

No. 2. you can factor by find a sum of two numbers equal to -14 and when multiplied is 45.

Answer 7

Back to no. 1, I did not know you were into complex solutions.\[(s ^{2}+4)=(s+2i)(s-2i)\]so substitute that for the (s^2+4)

Answer 8

You can look at No. 2's choices and readily see the pair that add up -14d

Answer 9

Thats why i wrote the answers because some ppl get what im asking wrong

Answer 10

Yes, can you pick out the answer to 1. now?

Answer 11

would not one but two yes the answer to num. 2 is D

Answer 12

No. 2 u got correct. now do No. 1, look at my post where \[s ^{2}+4\]

Answer 13

is the answer to num. 1 D also?

Answer 14

converts or factors to: (s+2i)(s-2i)

Answer 15

Yes, very good.

Answer 16

:) Thank you very much

Answer 17

You're welcome.