Question

Find the HCF of 2x^4-5x^3-2x+1 and 4x^3+8x^2+5x+3

Answer 1

is hcf highest common factor?

Answer 2

@lgbasallote yes

Answer 3

gcf is the conventional name for it

Answer 4

so you need to find their roots, and then look at the factored forms

Answer 5

2x^4-5x^3-2x+1 = (x^2 -3x + 1) (2x^2 +x+1)
4x^3+8x^2+5x+3 = (2x+3)( 2x^2 + x + 1)
so the gcf is (2x^2 + x + 1)

Answer 6

but how in the world did i factor that??

Answer 7

this is actually a tough problem, unless i am missing a trick

Answer 8

i typed it into my TI 89, that is cheap

Answer 9

i dont deserve a medal, somebody else do a solution without calculator

Answer 10

well the second quartic has a rational root of -3/2

Answer 11

you can use long division to find the cubic , then try dividing that into the other polynomial . since it is irreducible