Question

find the quotient and remainder when the polynomial p(x)= x3 +x2-22x-5 divided by the polynomial g(x)= (x-5)​

Answer 1

Answer:

35 is the reminder

Step-by-step explanation:

Given:

$p(x) = x^3 + x^2 -22x-5\\\\g(x)=(x-5)$

To find:

Quotient and Reminder:

Solution:

$p(x) = x^3 + x^2 -22x -5$

Zero of divisor $x-5$ is $x=5$

$p (5) = (5)^3 + (5)^2 - 22(5) -5\\\\p(5) =125 + 25 -110 - 5\\\\p(5) = 150 - 115\\\\p(5) = 35$

35 is the reminder of $p(x) =x^3 + x^2 -22x -5$ when divisor is $x-5$

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