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<blockquote data-quote="imhotep" data-source="post: 30123467" data-attributes="member: 562115"><p>Te problem is you never made an effort and look forward for someone else to spoonfeed. This is not going to work unless you put your brain into gear.</p><p></p><p>When you divide 2x^3+7x^2+13x-3 by (x+1)^2 the remainder is of the form R(x) = r1x + r0</p><p>So 2x^3+7x^2+13x-3 = (x+1)^2 Q(x) + r1x + r0 ..........................(a)</p><p></p><p>When x = -1, this becomes 2 (-1)^3 + 7 (-1)^2 + 13 (-1) - 3 = 0 + r1 (-1) + r0</p><p>So -2 + 7 -13 - 3 = -r1 + r0</p><p>which is - 11 = -r1 + r0 .....................(b)</p><p></p><p>Now differentiate (a)</p><p></p><p>6x^2+14x + 13 = 2 (x+1) Q(x) + (x+1)^2 Q'(x) +r1</p><p>Now let x = -1</p><p>6 (-1)^2 + 14 (-1) + 13 = 0 + 0 + r1</p><p>Therefore r1 = 5</p><p></p><p>Hence from (b) r0 = -6</p><p></p><p>Hence the remainder when 2x^3+7x^2+13x-3 is divided by (x+1)^2 is = r1x + r0 = 5x - 6</p><p></p><p></p><p>This is exactly what I wrote before without the spoonfeed to let you THINK.</p></blockquote><p></p>
[QUOTE="imhotep, post: 30123467, member: 562115"] Te problem is you never made an effort and look forward for someone else to spoonfeed. This is not going to work unless you put your brain into gear. When you divide 2x^3+7x^2+13x-3 by (x+1)^2 the remainder is of the form R(x) = r1x + r0 So 2x^3+7x^2+13x-3 = (x+1)^2 Q(x) + r1x + r0 ..........................(a) When x = -1, this becomes 2 (-1)^3 + 7 (-1)^2 + 13 (-1) - 3 = 0 + r1 (-1) + r0 So -2 + 7 -13 - 3 = -r1 + r0 which is - 11 = -r1 + r0 .....................(b) Now differentiate (a) 6x^2+14x + 13 = 2 (x+1) Q(x) + (x+1)^2 Q'(x) +r1 Now let x = -1 6 (-1)^2 + 14 (-1) + 13 = 0 + 0 + r1 Therefore r1 = 5 Hence from (b) r0 = -6 Hence the remainder when 2x^3+7x^2+13x-3 is divided by (x+1)^2 is = r1x + r0 = 5x - 6 This is exactly what I wrote before without the spoonfeed to let you THINK. [/QUOTE]
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