115k views
0 votes
Find the Remainder when y³ + y² - 2y +5 is divided by y-5.



User Eadmundo
by
7.6k points

2 Answers

0 votes

Explanation :

To find the remainder when the polynomial y³ + y² - 2y + 5 is divided by y - 5, we can use the Remainder Theorem.

The Remainder Theorem states that when a polynomial f(x) is divided by x - a, the remainder is equal to f(a).

In this case, we want to find the remainder when y³ + y² - 2y + 5 is divided by y - 5.

We can substitute y = 5 into the polynomial to find the remainder.

f(5) = (5)³ + (5)² - 2(5) + 5

= 125 + 25 - 10 + 5

= 145

Therefore, the remainder when y³ + y² - 2y + 5 is divided by y - 5 is 145.

User Firegurafiku
by
8.5k points
3 votes

Answer:

145

Explanation:


\begin{tabular}{ llllllllll }&&&y^2&+&6y&+&28\\\cline{4-10}y&-&5&)y^3&+&y^2&-&2y&+&5\\&&&y^3&-&5y^2\\\cline{4-10}&&&&&6y^2&-&2y\\&&&&&6y^2&-&30y\\\cline{6-10}&&&&&&&28y&+&5\\&&&&&&&28y&-&140\\\cline{8-10}&&&&&&&&&145\\\cline{8-10}\end{tabular}

The remainder is 145

User Kaligule
by
8.9k points

Related questions