What is the standard form of # y= (-10x-1)^3+(-3x+1)^2#? Algebra Polynomials and Factoring Polynomials in Standard Form 1 Answer Binayaka C. Oct 24, 2017 #y= -1000x^3-291x^2-36x# Explanation: Standard form cubic equation is #ax^3+bx^2+cx+d# #y= (-10x-1)^3+(1-3x)^2# or #y= -(10x+1)^3+(1-3x)^2 # #y= -{(10x)^3+3(10x)^2*1+3*10x*1^2+1^3}+1-6x+9x^2# #[(a+b)³=a³+3a²b+3ab²+b³]# #y= -(1000x^3+300x^2+30x+1)+1-6x+9x^2)# #y= -1000x^3-300x^2-30x-cancel1+cancel1-6x+9x^2# #y= -1000x^3-291x^2-36x# [Ans] Answer link Related questions What is a Polynomial? How do you rewrite a polynomial in standard form? How do you determine the degree of a polynomial? What is a coefficient of a term? Is #x^2+3x^{\frac{1}{2}}# a polynomial? How do you express #-16+5f^8-7f^3# in standard form? What is the degree of #16x^2y^3-3xy^5-2x^3y^2+2xy-7x^2y^3+2x^3y^2#? What is the degree of the polynomial #x^4-3x^3y^2+8x-12#? What is the difference between a monomial, binomial and polynomial? How do you write #y = 2/3x + 5# in standard form? See all questions in Polynomials in Standard Form Impact of this question 1371 views around the world You can reuse this answer Creative Commons License