8x^3+1 = (2x)^3 + 1^3 = ((2x)+1)((2x)^2 - (2x)(1) + 1^2)
= (2x+1)(4x^2-2x+1)
2x^4+16x = 2x(x^3+1) = 2x(x+1)(x^2-x+1)
x^3+8 = x^3 + 2^3 = ...
Match each polynomial in standard form to its equivalent factored form.
Standard forms:
8x^3+1
2x^4+16x
x^3+8
the equivalent equation that would match with it
(x+2)(x2−2x+4)
The polynomial cannot be factored over the integers using the sum of cubes method.
(2x+16)(4x^2−32x+64)
(x+1)(4x^2−2x+1)
2x(x+2)(x^2−2x+4)
(x+8)(x^2−16x+64)
(2x+1)(4x^2−2x+1)
For equation 1) 8x^3+1 I believe the matching product is (x+8)(x^2−16x+64)
For equation 2) (2x+16)I believe the matching product is (4x^2−32x+64)
For equation 3) x^3+8 I believe the matching product is (x+1)(4x^2−2x+1)
I am not really sure at all I am struggling with this subject
6 answers
would the third one be (x+2)(x2−2x+4)
or The polynomial cannot be factored over the integers using the sum of cubes method.
your factoring is correct.
sum and difference of cubes can always be factored.
sum and difference of cubes can always be factored.
2x^4+16x = 2x(x^3+1) = 2x(x+1)(x^2-x+1)
Is not a choice I am confused.
Is not a choice I am confused.
Yeah I was looking at that and was wondering of I messed up some where