Question

If 3x4-4x3-16x2+15x+14 is divided by x2-4,the remainder is px+q. Find p&q​

Answer 1

p = –1 , q = –2

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Answer 2

The value of  p and q is -1 and -2

Step-by-step explanation:

given  polynomial

$3x4-4x3-16x2+15x+14$

on dividing $3x4-4x3-16x2+15x+14$ by $x^2-4$

we get the quotient = 3x² - 4x-4

remainder = -x-2

Th division is shown in the below attachment

given remainder = px +q

on comparing both the remainder

remainder = -x-2  with given remainder = px +q

we get to know that

p = -1 and q = -2

hence, The value of  p and q is -1 and -2

#Learn more:

Find the remainder obtained on dividing

p(x) = 3x4 - 4x3 - 3x - 1 by x-1

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