f(x)= 9x^3 + 2x^2 − 5x + 4 and g(x) = 5x^3 −7x + 4.
what is f(x)−g(x)?
Show all of your steps and write your final answer in factored form.
3 answers
I am so behind I need help
I need help too can someone plz help
just do a direct substitution.
f(x)-g(x) = (9x^3 + 2x^2 − 5x + 4) - (5x^3 −7x + 4)
= 9x^3 + 2x^2 − 5x + 4 - 5x^3 + 7x - 4
= (9-5)x^3 + (2+0)x^2 + (-5+7)x + (4-4)
= 4x^3 + 2x^2 + 2x
= 2x(2x^2+x+1)
f(x)-g(x) = (9x^3 + 2x^2 − 5x + 4) - (5x^3 −7x + 4)
= 9x^3 + 2x^2 − 5x + 4 - 5x^3 + 7x - 4
= (9-5)x^3 + (2+0)x^2 + (-5+7)x + (4-4)
= 4x^3 + 2x^2 + 2x
= 2x(2x^2+x+1)