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x4 + x2 - 42
Let x2 = t, so that x4 = t2
t2 + t - 42 since -42 = 7(-6) and 7 + (-6) = 1, then
t2 + t - 42 = (t - 6)(t + 7) = (x2 - 6)(x2 + 7) By replacing t with x2. So we have,
x4 + x2 - 42 = (x2 - 6)(x2 + 7) = [x2 - (square root of 6)2](x2 + 7) = (x - sq. root of 6 )(x + sq. root of 6)(x2 + 7)
What else can I help you with?
What Is The greatest common factor Of 56 84 112?
28 ( x2, x3 and x4)
How do you factor x to the fifth minus one?
x5-1 = (x - 1)(x4 + x3 + x2 + 1)
Can you factor out exponents?
You sure can, here is an example I made up to show you: x4+x2= x2(x2+x) When you factor it out it should look like this because if you multiply it back up (where the exponents will multiply not add) it will equal the primary equation.
How do you factor completely x to the fourth power minus 16?
(x4 - 16) = (x2 + 4) (x2 - 4) = (x2 + 4) (x + 2) (x - 2)
How do you factor this x4-x2-12?
I assume the x4 is x to the 4th power, and x2 is x², or x squared. The two factors would be: (x + 2)(x - 2)(x² + 3) There are 4 solutions for x: x = 2 x = -2 x = √-3 x = -√-3
X4 plus 7x2 minus 60 factor completely?
x4 + 7x2 - 60 = x4 + 12x2 - 5x2 - 60 = x2(x2 + 12) - 5(x2 +12) = (x2 - 5)(x2 +12)
X plus 4 x plus 2 simplfied?
x4 +x2 =x2 (x2+1)
Factor of 1-x4?
1 - x4 = (1 - x2)(1 + x2) = (1 - x)(1 + x)(1 + x2) (difference of squares)
How do you factor x8-81?
(x2 - 3)(x2 + 3)(x4 + 9)
-6x3 plus 4x7-0.8x2 plus x4-5x5?
-6x3 + 4x7 - 0.8x2 + x4 - 5x5 = 4x7 - 5x5 + x4 - 6x3 - 0.8x2 = x2 (4x5 - 5x3 + x2 - 6x - 0.8)
Is x-2 a factor of fx equals -9 x4 plus 3 x3 - 7 x2 plus 7 x - 9?
If there is a remainder then it's not a factor otherwise yes
Sum of series 1 plus x2 plus x4.....plus xn?
(xn+2-1)/(x2-1)ExplanationLet Y=1+x2+x4+...+xn. Now notice that:Y=1+x2+x4+...+xn=x2(1+x2+x4+...+xn-2)+1Y+xn+2=x2(1+x2+x4+...+xn-2+xn)+1Y+xn+2=x2*Y+1Y+xn+2-x2*Y=1Y-x2*Y=1-xn+2Y(1-x2)=1-xn+2Y=(1-xn+2)/(1-x2)=(xn+2-1)/(x2-1)
X4-2x3 plus 2x2 plus x plus 4 divided by x2 plus x plus 1 solutions?
(x4 - 2x3 + 2x2 + x + 4) / (x2 + x + 1)You can work this out using long division:x2 - 3x + 4___________________________x2 + x + 1 ) x4 - 2x3 + 2x2 + x + 4x4 + x3 + x2-3x3 + x2 + x-3x3 - 3x2 - 3x4x2 + 4x + 44x2 + 4x + 40R∴ x4 - 2x3 + 2x2 + x + 4 = (x2 + x + 1)(x2 - 3x + 4)
X4 - 36 factor the polynomial in quadratics form?
-32
How do you factor the expression x to the fifth plus x to the fourth plus x cubed plus x squared plus x?
x(x4+x3+x2+x+1)
How do you factor 100x2 - x4?
-x2(x + 10)(x - 10)
X4 plus 8x2 plus 4 - what are the factors?
(x2 + 4 - 2sqrt(3)) (x2 + 4 + 2sqrt(3))
