# Algebra 2

posted by .

Replace each of the question marks with a value that will make the polynomial a perfect square trinomial.
1. 4x^2+12x+?
2. ?+90x+81
Could someone show me how to solve these?

Take the first:

factor out the 4

4x^2+12x+?
4( x^2 + 3x + ?)

take half the center term, and square it. half is 3/2, squared is 9/4

4( x^2 + 3x + 9/4)
Put the 4 back in...

4x^2 + 12x+9
(2x+3)(2x+3)

Second:
?+90x+81
Notice the last term is a perfect square, its square root is 9. Twice nine is eighteen.
Now to find the missing term, divide 90 by 18: five.

25x^2 + 90x + 81
(5x+9)(5x+9)

## Similar Questions

1. ### algrebra 2

it is called completing the square here is the equation 4x^2-4x+1=9 if anyone can help me please do okay i really need ot understand this 4x^2-4x+1=9 Move the numbers to the other side. 4x^2 -4x = 9-1 4x^2 -4x = 8 Now factor out 4 …
2. ### help...solving a polynomial....algebra

solve this please....help me....12x(squared)+7x-10 Do you wish to factor this trinomial?
3. ### math,help

Is this trinomial a perfect square x^2-6x+9 if the trinomial starts with x^2 and 1/2 of the middle term coefficient squared equals the last term, then it is a perfect square. tell me what you found. i thought it was not a perfect square. …
4. ### Algebra

I have a few more questions that I either need help with or just need checking. Is the algebraic expression a polynomial?
5. ### Math

this question does not make sense to me. Add the proper constant to the binomial so that the resulting trinomial is a perfect square trinomial. then factor the trinomail. X^2+21x+__ What is the constant term?
6. ### alg3

how do i factor the perfect square trinomial 9x2-12x+4
7. ### algebra

decide whether each trinomial is a perfect square. if so, factor it. x^2 - 4x + 4 how do i solve this?
8. ### Algebra 1--Please, help me!

1. Maria has 8 cups of a fruit punch that consists of 25% orange juice and 75% apple juice. She wants to make a drink that is 40% orange juice. How many cups of orange juice should Maria add to th mixture?
9. ### Algebra 1--Please, help me!

1. Maria has 8 cups of a fruit punch that consists of 25% orange juice and 75% apple juice. She wants to make a drink that is 40% orange juice. How many cups of orange juice should Maria add to th mixture?
10. ### algebra 2

find the value of c that makes each trinomial a perfect square. then write the trinomial as a prefect square. x^2-10x+c x^2+60x+c

More Similar Questions