Answer: 
Step-by-step explanation:
Given
Complex number is 
Its conjugate is obtained by changing the sign of the original number i.e. 
The product of the two numbers is
![\Rightarrow (2-i5)(2+i5)=2^2-(5i)^2\quad \quad [(x+y)(x-y)=x^2-y^2]\\\\\Rightarrow (2-i5)(2+i5)=4-25i^2\\\\\Rightarrow (2-i5)(2+i5)=4+25=29](https://tex.z-dn.net/?f=%5CRightarrow%20%282-i5%29%282%2Bi5%29%3D2%5E2-%285i%29%5E2%5Cquad%20%5Cquad%20%5B%28x%2By%29%28x-y%29%3Dx%5E2-y%5E2%5D%5C%5C%5C%5C%5CRightarrow%20%282-i5%29%282%2Bi5%29%3D4-25i%5E2%5C%5C%5C%5C%5CRightarrow%20%282-i5%29%282%2Bi5%29%3D4%2B25%3D29)
Answer:
f(x)=x(x-5)(x+2)
Step-by-step explanation:
Since the steps of the factorization of the polynomial f(x) is not given, I will proceed to give the correct factorization of f(x).
f(x)=x³-3x²-10x
First, we factor out x since it is a common term.
f(x)=x(x²-3x-10)
Next, we factorize the quadratic expression x²-3x-10.
f(x)=x(x²-5x+2x-10)
f(x)=x(x(x-5)+2(x-5))
f(x)=x(x-5)(x+2)
The correct factorization of the polynomial f(x)=x³-3x²-10x is: f(x)=x(x-5)(x+2)
9514 1404 393
Answer:
Step-by-step explanation:
Let g and b represent the numbers of candy canes the girl and boy have, respectively.
g -1 = b +1 . . . . . . girl gives to boy, they're equal
g +1 = 2(b -1) . . . . boy gives to girl; she has double
Adding 1 to the first equation gives an expression for g that can be substituted into the second equation.
g = b +2
(b +2) +1 = 2b -2
5 = b . . . . . . . . . . add 2-b, simplify
g = 5+2 = 7 . . . . . find g
The girl has 7 candy canes; the boy has 5.
