Question

f(y) = 6y²-7y+2 g(y)=7y+y³. Subtract the second polynomial from the first polynomial and find the degree of the resultant polynomial.

Answer 1

$\bf \LARGE \it Hey \: User!!!$

according to the question, we have to subtract g(y) from f(y) and then we have to find the degree of the resultant polynomial.

given :-

f(y) = 6y² - 7y + 2

g(y) = 7y + y³

= (6y² - 7y + 2) - (7y + y³)
= 6y² - 7y - 7y + 2 + y³
= 6y² - 14y + 2 + y³
= y³ + 6y² - 14y + 2

3 is the degree of resultant polynomial as it's the highest power here.

$\bf \LARGE \it Cheers!!! \:$

Answer 2

Hi ,

It is given that ,

F( y ) = 6y² - 7y + 2 ,

f( y ) = 7y + y³

Let the resultant polynomial p(y)

p( y ) = F( y ) - f( y )

= 6y² - 7y + 2 - ( 7y + y³ )

= 6y² - 7y + 2 - 7y - y³

p( y ) = - y³ + 6y² - 14y + 2

Therefore ,

Required Resultant polynomial

= p( y ) = - y³ + 6y² - 14y + 2

Degree of p( y ) = Heighest power

of y in p( y )

= 3

I hope this helps you.

: )