What is the standard form of #f(x)=(2x+1)(x+3)-(3x-1)^2 #? Algebra Polynomials and Factoring Polynomials in Standard Form 1 Answer Tony B Mar 22, 2016 #2x^2+4x+2# Explanation: Write as:#" "color(brown)(color(blue)((2x+1))(x+3)-color(green)((3x-1))(3x-1))# #color(brown)(color(blue)(2x)(x+3)color(blue)(+1)(x+3)-[color(green)(3x)(3x-1)color(green)(-1)(3x-1)] # #color(brown)(color(blue)(2x)(x+3)color(blue)(+1)(x+3)-color(green)(3x)(3x-1)color(green)(+1)(3x-1)# #2x^2+6x+x+3-9x+3x+3x-1# Grouping terms #2x^2 +(6x+x-9x+3x+3x)+(3-1)# #2x^2+4x+2# 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 3039 views around the world You can reuse this answer Creative Commons License