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anonymous
 one year ago
What are the roots of the polynomial equation x^4+x^3=4x^2+4x?
–2, –1, 0, 2
–2, 0, 1, 2
–1, 0
0, 1
anonymous
 one year ago
What are the roots of the polynomial equation x^4+x^3=4x^2+4x? –2, –1, 0, 2 –2, 0, 1, 2 –1, 0 0, 1

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freckles
 one year ago
Best ResponseYou've already chosen the best response.0you could write everything on one side and try to factor

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1x^4+x^3=4x^2+4x x^4 + x^3  4x^2  4x = 0 take out the common factor x x(x^3 + x^2  4x  4) = 0 so what is one root?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1when two expression are multiplied and the result is zero then either one = zero right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes, so it would be D?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1dont jump to conclusions all we can say is that x = 0 one root is 0

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1 so it could be any of the 4 options now we can look to see if we can factor the cubic in the parentheses

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1x^3 + x^2  4x  4 = 0

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1we can factor this by grouping can you factor the first 2 terms x ^3 and x^2  what is the highest common factor of these 2?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1what is the highest thing which divides into x^3 and x^2?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1is it x or is it x^2?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1yes so it factors to x^2(x + 1) OK with that?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1right so so far we have x^1(x + 1)  4x  4 = 0 it would be nice if we could get another (x + 1) so we could factor further and we can do this by taking out 4 from the lat 2 terms so we get x^2( x + 1)  4(x + 1) = 0 taking out the x+ 1 (x^2  4)(x + 1) = 0 do you follow that ok?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1great so now we have x^2  4 = 0 and x + 1 = 0 x = 2 , 2 and 1 so final answer is 2, 2, 1 and 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you for explaining this to me!!!

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1its always worth checking to see if you can factor by grouping

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1you cant always do it of course
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