Solution:
Given that,
What polynomial should be subtracted from the polynomial y^2–5y+1 to get the difference equivalent to 5
Let the required polynomial be x
Therefore, according to question,
[tex]y^2-5y+1-(x)=5[/tex]
We need to find the value of x
[tex]y^2 - 5y + 1 - x = 5[/tex]
Keep "x" alone in left side of equation and move all other terms to left side
[tex]x = y^2 - 5y + 1 - 5\\\\x = y^2 - 5y - 4[/tex]
So, the required polynomial that should be subtracted from the polynomial [tex]y^2-5y+1[/tex] to get the difference equal to 5 is [tex]y^2-5y-4[/tex]
