Question

Solve: x^2+50xy+609y^2-8yz-z^2

Answer 1

Answer:

(x+21y−z)(x+29y+z)

Step-by-step explanation:

SOLUTION STEPS

x  

2

+50xy+609y  

2

−8yz−z  

2

 

Consider x  

2

+50xy+609y  

2

−8yz−z  

2

 as a polynomial over variable x.

x  

2

+50yx+609y  

2

−8yz−z  

2

 

Find one factor of the form x  

k

+m, where x  

k

 divides the monomial with the highest power x  

2

 and m divides the constant factor 609y  

2

−8yz−z  

2

. One such factor is x+29y+z. Factor the polynomial by dividing it by this factor.

(x+29y+z)(x+21y−z)