Question

What polynomial should be subtracted from the polynomial y^2–5y+1 to get the difference equivalent to:

Answer 1

The required polynomial that should be subtracted from the polynomial $y^2-5y+1$ to get the difference equal to 5 is $y^2-5y-4$

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,

$y^2-5y+1-(x)=5$

We need to find the value of x

$y^2 - 5y + 1 - x = 5$

Keep "x" alone in left side of equation and move all other terms to left side

$x = y^2 - 5y + 1 - 5\\\\x = y^2 - 5y - 4$

So, the required polynomial that should be subtracted from the polynomial $y^2-5y+1$ to get the difference equal to 5 is $y^2-5y-4$