Answer:
x^4 - 14x^2 - 40x - 75.
Step-by-step explanation:
As complex roots exist in conjugate pairs the other zero is -1 - 2i.
So in factor form we have the polynomial function:
(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)
= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)
The first 2 factors = x^2 - 2x - 15 and
( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2
= x^2 + 2x + 1 + 4
= x^2 + 2x + 5.
So in standard form we have:
(x^2 - 2x - 15 )(x^2 + 2x + 5)
= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75
= x^4 - 14x^2 - 40x - 75.
Answer:
5/32 (aka option A) should be the correct answer!
Step-by-step explanation:
ok so... its 5/32 who walks to school!
since there are 5 students who walked to school, and 32 students are in the class, 5/32 should be the correct answer!
Answer: 49
Step-by-step explanation:
a=1 ,b=14, c=?
b^2-4ac =0
(14)^2-4(1)(c)=0
196-4c=0
196=4c
c=49
Check:
(x)^2+2(x)(7)+(7)^2
x^2+14x+49
(x+7)^2
Answer:
35
Step-by-step explanation:
1/5x - 3 = 4
first move 3 to the other side with addition
1/5x = 7
then you can divide 7 by 1/5
7/1 • 5/1 (when dividing fractions the second one is always the opposite reciprocal)
=35/1 = 35
Lake Superior is larger than Lake Victoria by 4,872 square miles.
