Question

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​

Answer 1

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

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Step-by-step explanation:

Answer 2

x³-x²-(3-√3)x+√3

Answer:

x³-x²-(3-√3)x+√3