Question

Anna
IF THE
(8x² - 2x² +6x-7) by (3x + 1) Is (4x³+px²-qx+3)
THEN FIND P,Q AND Also THE REMAINDER
QUOTIENT OBTAINED ON DIVIDING​

Answer 1

Answer:

Since  x2−2x−3=(x−3)(x+1),  

By the factor theorem,

k(−1)3−8(−1)2+p(−1)+6=0  

−k−p=2…(1)  

k(3)3−8(3)2+p(3)+6=0  

27k+3p=66  

i.e.9k+p=22…(2)  

(1) + (2) gives  k=3  and

−3−p=2  implies that  p=−5.

Step-by-step explanation: