Question

what must be added to y cube minus y square minus 3 y - 2 to get y square minus 5 y + 6​

Answer 1

$\bigstar$ Correct Question:

• What should be added to y³ - y² - 3y - 2 to get y² - 5y + 6 ?

$\bigstar$ Given:

• The polynomial = y³ - y² - 3y - 2
• The sum of both polynomials = y² - 5y + 6

$\bigstar$To find:

• The polynomial that should be added to y³ - y² - 3y - 2 to get y² - 5y + 6.

$\bigstar$ Solution:

Let the unknown polynomial be x.

So,

A/q y³ - y² - 3y - 2 + x = y² - 5y + 6

$\implies$ x = (y² - 5y + 6) - (y³ - y² - 3y - 2)

$\implies$ x = y² - 5y + 6 - y³ + y² + 3y + 2

( Negative × Negative = Positive)

$\implies$ x = y³ + y² + y² - 5y + 3y + 6 + 2

$\implies$ x = y³ + 2y² - 2y + 8

$\therefore$ the polynomial that should be added to y³ - y² - 3y - 2, to get y² - 5y + 6 is :

y³ + 2y² - 2y + 8

$\bigstar$Answer:

$\therefore$ the answer is y³ + 2y² - 2y + 8.