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x square - 1 is a factor of x to the power 4 + 3 x cube + 3 X square + bx + c show that a + C + equal to b + b equal to zero |
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Answer» Answer:^2 and^3 is SQUARE and CUBE so lets start the question x^2-1=0 x^2-1^2=0 (x+1)(x-1)=0 x+1=0 x=-1 x-1=0 x=1 p(x)=ax^4+bx^3+cx^2+dx+E p(-1)=a(-1)^4+b(-1)^3+c(-1)^2+d(-1)+e = a-b+c-d+e-------------(i) p(1)=a(1)^4+b(1)^3+c(1)^2+d(1)+e a+b+c+d+e--------------(ii) add(1)&(2) a-b+c-d+e+a+b+c+d+e 2a+2c+2e=0 2(a+c+e)=0 a+c+e=0/2 a+c+e=0 substract1&2 a-b+c-d+e-(a+b+c+d+e) a-b+c-d+e-a-b-c-d-e -2b-2d=0 -2(b+d)=0 b+d=0/-2 b+d=0 hence verified Read more on Brainly.in - brainly.in/question/4476265#readmore Step-by-step explanation: |
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