Question

[8.06] Determine which polynomial is a perfect square trinomial. (3 points)
4x2 - 12x + 9
16x2 + 24x - 9
4a2 - 10a + 25
36b2 - 24b - 16
help?

Answer 1

Let's start with the definition of a perfect square trinomial. Perfect square trinomial: An expression with three terms that is the square of a binomial. So now tell me. What does the square of a binomial look like?

Answer 2

(x+a)^2 foil it out and it gives you the form for a perfect square :D

Answer 3

(x+a)*(x+a)=
x^2+ax+ax+a^2=
x^2+2ax+a^2

Answer 4

I know how to do this its just im unable to figure this problem out

Answer 5

\[(a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2 \]
These are the forms you must work with.

Answer 6

Ok so lets start with:
4x^2 - 12x + 9
You are not "solving" anything, you are simplifying an expression. In fact you are trying to factor it.

Answer 7

so in this one it would be 2x for first term and positive 3for last term

Answer 8

i am not so sure what if we add another coefficien

(bx+a)*(bx+a)= b^2x^2+bax+bax+a^2

(b^2)x^2+(2ba)x+a^2 maybe
A B C

Ax^2+ bx+ C

Answer 9

so um what sign would go between 4x and 3? a negative or positive sign?