Question

If the polynomial y³ - 5y² + 7y + m is divided by y + 2 and the remainder is 50 then find the value of m.
​

Answer 1

$\huge\fbox\pink{✯Answer✯}$

$p(y) = {y}^{3} - 5 {y}^{2} + 7y + m \\ \\ divisor = y + 2 \\ \\ take \: y = - 2 \\ \\ p( - 2) = ( - {2}^{3} - 5( - 2 {)}^{2} + 7( - 2) + m \\ \\ 50 = - 8 - 5 (4) - 14 + m \\ \\ 50 = - 42 + m \\ \\ 50 + 42 = m \\ \\ m = 92$

• The value of m is m = 92

$\huge\boxed{\dag\sf\red{Thanks}\dag}$

Answer 2

Answer:

When the polynomial is divided by (y + 2), the remainder is 50. This means that the value of the polynomial when y = −2 is 50. Thus, the value of m is 92.

hope it helps

pls mark as brainlliest