## Introductory Algebra for College Students (7th Edition)

$(3x^{4}-x^{2}+5)(x-1)$
Group in pairs... ... $= [3x^{4}\cdot x+3x^{4}\cdot 1]+ [-x^{2}\cdot x+(-1)]+[5\cdot x+5\cdot(-1)]$ ... use the distributive property on each pair, $=3x^{4}(x-1)-x^{2}(x-1)+5(x-1)$ ... now, $(x-1)$ is a common factor. Use the distributive property. = $(3x^{4}-x^{2}+5)(x-1)$