for polynomial p(x),the value of p(3) is −2.which of the following must be true about p(x)? (a)x−5 is the factor of p(x) (b)x−2is the factor of p(x) (c)x+2 is the factor of p(x) (d)the reminder when p(x) is divide d by x−3 is −2


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Question Number 61261 by Jmasanja last updated on 31/May/19

$f o r p o l y n o m i a l p (x), t h e v a l u e o f$ $p (3) i s - 2 . w h i c h o f t h e f o l l o w i n g$ $m u s t b e t r u e a b o u t p (x) ?$ $(a) x - 5 i s t h e f a c t o r o f p (x)$ $(b) x - 2 i s t h e f a c t o r o f p (x)$ $(c) x + 2 i s t h e f a c t o r o f p (x)$ $(d) t h e r e m i n d e r w h e n p (x) i s d i v i d e$ $d b y x - 3 i s - 2$
	Answered by tanmay last updated on 31/May/19

	$p (x) = (x - 3) q (x) + R (x)$ $p (3) = (3 - 3) q (3) + R (3)$ $p (3) = R (3) = - 2 [r e m a i n d e r = - 2]$
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