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]
Step-by-step explanation:
We need to find polynomial that should be subtracted from the polynomial [tex]y^2-5y+1[/tex] to get the difference equal to 5
Let the required polynomial be x
We are given:
[tex]y^2-5y+1-(x)=5[/tex]
We need to find the value of x
[tex]-x=5-y^2+5y-1\\-x=-y^2+5y+4[/tex]
Divide both sides by - 1
[tex]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]
Keywords: Solving Polynomials
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