Question

what will be the coefficient of y2 in the polynomial 5y3 + 3y2 -y+ y2 +5?

Answer 1

Given:

The polynomial $5y_3 + 3y_2 - y + y_2 +5$

To find:

The coefficient of $y_2$ in the polynomial $5y_3 + 3y_2 - y + y_2 +5$

Solution:

A coefficient ids a multiplicative factor in terms of polynomial.

To find the coefficient of $y_2$ in the given polynomial $5y_3 + 3y_2 - y + y_2 +5$ ,

Add the coefficient of the variable with same subscript.

Here, In the given polynomial

Add $3y_2 + y_2$  we get 4$y_2$

Therefore,

$5y_3 + 4y_2 - y +5$

Coefficient of $y_2$ is 4

Final answer:

The coefficient of $y_2$ in the polynomial $5y_3 + 3y_2 - y + y_2 +5$ is 4