SOLUTION: suppose x^2+a^2x+a^2 factors into (x+a)^2 find the nonzero value of a

SOLUTION: suppose x^2+a^2x+a^2 factors into (x+a)^2 find the nonzero value of a

Algebra.Com

Question 183172: suppose x^2+a^2x+a^2 factors into (x+a)^2 find the nonzero value of a
Answer by user_dude2008(1862) (Show Source): You can put this solution on YOUR website!
x^2+a^2x+a^2= (x+a)^2

x^2+a^2x+a^2=x^2+2ax+a^2

a^2x=2ax

a^2=2a

a^2-2a=0

a=0 or a=2

Answer: a=2
RELATED QUESTIONS
"suppose x^2+a^2x+a^2 factors into (x+a)^2. what is the value of a, that is not... (answered by jim_thompson5910)

The expression x^2 + 50x + 625 factors into (x + a)^2. What is the value of "a"? (answered by richwmiller)

factor g(x) into linear factors and solve g(x)=0 A)find the zeros B)factor the... (answered by ikleyn)

How can 1*x^2+7*x+9 turn into a product of 2 factors? (answered by ikleyn)

The expression 2x^3+x^2-7x-6 factorizes into a product of three factors. Given that two... (answered by lwsshak3)

If (2x-1) is a factor of f(x)=2x^3-5x^2-kx+3 find the value of k. Find the other two... (answered by stanbon)

If (2x-1) is a factor of f(x)=2x^3-5x^2-kx+3 find the value of k. Find the other two... (answered by Jk22)

Given a polynomail and one of its factors, find the remaining factors of the polynomial.... (answered by jsmallt9)

Given P(x)= x^4-2x^3+7x^2-18x-18 These are the question i need help with A)show... (answered by jim_thompson5910)