Example 10. Find the value of a' if the polynomial p(x) = 44 - 2x + 3x2 - ax + 3a - 7
when divided by (x + 1) leaves the remainder 19. Also find the remainder when p(x) is divided by
(x + 2).
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2
Answer:
a=-15 and in second equation remainder is -12
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1
x+1=0 x=-1 so we have to substitute x=-1 44-2(-1)+3(-1)2-(a)(-1)+3(-1)-7
44+2-6+a-3-7=19
44-16+a=19
28+a=19
a=19-28=-9
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