Factor the polynomial function over the complex numbers.

Can someone please check my work I don’t think I did it right thank you

Step-by-step explanation:

f(x)=x^4+3x^2-4

put x²=y

squaring x^4=y²

f(x)=y²+3y-4

=y²+4y-y-4

=y(y+4)-1(y+4)

=(y+4)(y-1)

so f(x)=(x²+4)(x²-1)

=[x²-(-4)](x²-1²)

=[x²-(4i²)](x²-1²)

=[x²-(2i)²](x²-1²)

=(x+2i)(x-2i)(x+1)(x-1)

[∵a²-b²=(a+b)(a-b)]

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

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step-by-step explanation:

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