Home > Algebra > Polynomials in Standard Form

What is the standard form of # y= (-x+1)^3-(2x-1)^2#?

Answer 1

#y=-x^3-x^2-7x#

A general polynomial is in standard form when its terms are arranged in decrease degrees.

#{: (,(-x+1)^3, =, ,-x^3,+3x^2,-3x,+1), (-,(2x-1)^2,=,-,,4x^2,-4x,+1), ("---","----------","----","----","----","----","----","----"), (,,,,-x^3,-x^2,-7x,) :}#

#(-x^3)# is of degree #3# #(-x^2)# is of degree #2# #(-7x)# is of degree #1# So this arrangement is in standard form

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Jameson Allen

The standard form of (y = (-x + 1)^3 - (2x - 1)^2) is (y = -x^3 + 9x^2 - 21x + 13).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.