Math 209College Mathematics II
posted by Sheryl .
How do you factor this completely:
x^3 + ax + 3a + 3x^2

You are in luck with this one. Two pairs of terms have x + 3 as a common factor.
x^3 + ax + 3a + 3x^2
= x^2(x + 3)+ a(x + 3)
= (x^2 + a)(x + 3)
= (x + ia)(x  ia)(x + 3)
(i is the square root of 1)
Two of the three roots are complex, for real a. 
X^3+ax+3a+3x^2
x^2+3x^2+ax+3a
x(x+3)+a(x+3)
(x+a)(x+3)
x= a, x= 3
Respond to this Question
Similar Questions

Factor completely
I am to factor this completely and I am stuck. 2r^3 + 8r^2 +6r Note: x^2 is xsquared (that is, x with the superscript 2), etc. 2 is a factor and r is a factor so the equation becomes 2r(r^2 + 4r + 3) then we can factor the term in … 
Math 209
f(x) = x3 + 2x2 – 0.4X – 1 how do you you factor this? 
Math 209
f(x) = x3 + 2x2 – 0.4X – 1 how do you you factor this? 
math
I need help with these two problems please. Completely factor the polynomial. 8x^3+16^2+8x+16 Factor the trinomial completely. y^314y^2+48y 
math help
Factor f(x) into linear factors given that k is a zero of f(x). f(x)=x^3+(124i)x^2+(3248i)x128i, k=4i In completely factored form, f(x) =____ (factor completely. simplify your answer) 
math please help!!!!!
Factor f(x) into linear factors given that k is a zero of f(x). f(x)=x^3+(124i)x^2+(3248i)x128i, k=4i In completely factored form, f(x) =____ (factor completely. simplify your answer) 
math
Completely factor the expression 16t3 − 50t2 + 36t. A. 2t(8t − 9)(t − 2) B. Prime C. 2t(8t + 9)(t + 2) D. 2t(8t − 25t + 18) Completely factor the expression 48u4v4 − 18u2v2 − 3u8v5. … 
math
Completely factor the expression 16t3 − 50t2 + 36t. A. 2t(8t − 9)(t − 2) B. Prime C. 2t(8t + 9)(t + 2) D. 2t(8t − 25t + 18) Completely factor the expression 48u4v4 − 18u2v2 − 3u8v5. … 
College Algebra 1
Factor completely. Remember to look first for a common factor and check by multiplying. if polynomial is prime, state this. 36a^296ab54b^2 I couldn't find the right answer. 
math
What is the value of t in the equation below?