Wednesday
April 23, 2014

Homework Help: Algebra 2

Posted by Christian on Monday, May 21, 2007 at 10:41pm.

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)

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

trinomial - I need this answer. Which trinomial is a perfect square trinomial? A...
algebra - I am confused on how to determine if an equation/expression is a ...
Math - this question does not make sense to me. Add the proper constant to the ...
Algebra - Complete the square to form a perfect square trinomial. X^2+4x+____ ...
Math check - Complete the square: x^2 -12x. Which of the following is the ...
algebra 1 - find a value for k that will make 4x^2 + 6.4x + k a perfect square. ...
Polynomial Fucntion Problem - Could you help me with the following problem, I ...
algebra 1 - find a value for k that will make 4x^2 + 6.4x + k a perfect square. ...
help...solving a polynomial....algebra - solve this please....help me....12x(...
alg3 - how do i factor the perfect square trinomial 9x2-12x+4

Search
Members