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Question #10699

Factorise:x^4+x^2+1

Expert's answer

x^4+x^2+1=x^4+2*x^2+1-x^2=(x^4+2*x^2+1)-x^2=(x^2 + 1)^2 - ( x

)^2=[x^2+1+x]*[x^2+1-x]

)^2=[x^2+1+x]*[x^2+1-x]

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**1.**FActorise: 1. 2x3-x2-13x-6 2. 2x3+7x2+x-10 3. x3+5x2-4x-20 4. 3x3-2x2-7x-2**2.**factorize 4x^2+6x+9/4**3.**factorize a^3+b^3-c^3+3abc**4.**using factor theorem, show that a+b, b+c, c+a are the factors of (a+b+c)^3 - (a^3+b^3…**5.**Solve and write in interval notation. Round to one decimal. l 0.3v–1.6 l > 1.7**6.**Find the value of a and b so that (x+1) and (x-1)are the factors ofx4+ax3-3x2+2x+b.**7.**Factorise: 1. 3x3-2x2-7x-2 2. x3+5x2-4x-20 3. 2x3-x2-13x-6 4.2x3+7x2+x-10

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