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Grade 12 Advance Functions Polynomials

Hey can anyone help me with this question? "Show that x+a is a factor of the polynomial P(x)=(x+a)4+(x+c)4-(a-c)4

Emma

Answers

Hi Lipi! You know from the factor theorem that if (x+a) is a factor of P(x), then P(-a) = 0. Since P(X) = (x+a)^4+(x+c)^4-(a-c)^4, P(-a) = (c-a)^4-(a-c)^4 = (c-a)^4 - [(-1)^4 * (c-a)^4] = (c-a)^4-(c-a)^4 = 0You have shown P(-a) = 0, therefore (x+a) is a factor of P(x)

mathematician99

07 July 2017

ok thanks

lipi

07 July 2017

Solution_Part_1_Factor_Question.jpg

ajmal_r

29 September 2017

Solution_Part_2_Factor_Question.jpg

ajmal_r

29 September 2017

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