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:
246 in^2
Step-by-step explanation:
Given data
Length= 8 in
Width= 3 in
Height= 9 in
SA= 2( lw + wh + hl)
substitute
SA= 2(8*3+ 3*9+ 9*8)
SA= 2(24+ 27+72)
SA= 2(123)
SA= 246 in^2
Hence the SA is 246 in^2
Answer:72 ounces
Step-by-step explanation:
The correct answer is 72 ounces. In order to reach this answer you need to multiply 80 times .9, which equals 72.
Srry idk the ans for this que
Answer:
<em>9 sheep and 5 goats</em>
Step-by-step explanation:
s + g = 14
125s + 75g = 1500
125( 14 - g ) + 75g = 1500
1750 - 125 g + 75g = 1500
50g = 250
g = <em>5 goats</em>
s = <em>9 sheep</em>
