SOLUTION: (1)Factor. 4x^2+33x+35 (2)Factor. 4x^2-25x-56 (3)Factor. 6x^2-53x+40 (4)Factor. y^2-64 (5)Factor. x^2+16x+64

Algebra ->  Linear-equations -> SOLUTION: (1)Factor. 4x^2+33x+35 (2)Factor. 4x^2-25x-56 (3)Factor. 6x^2-53x+40 (4)Factor. y^2-64 (5)Factor. x^2+16x+64      Log On


   



Question 697440: (1)Factor.
4x^2+33x+35
(2)Factor.
4x^2-25x-56
(3)Factor.
6x^2-53x+40
(4)Factor.
y^2-64
(5)Factor.
x^2+16x+64

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(1)Factor.
4x^2+33x+35
-------------
It's (ax + b)*(cx + d)
a, b, c & d are positive.
ac = either 1*4 oe 2*2
bd = either 1*35 or 5*7
Try all possibilities, find the one that works.
I can do it, but that won't help you do it.
-------------------
(2)Factor.
4x^2-25x-56
--------
The signs of c & d are opposite.
------------
(3)Factor.
6x^2-53x+40
The signs of c & d are both negative.
------------
(4)Factor.
y^2-64
It's a difference of 2 squares.
a^2-b^2 = (a-b)*(a+b)
-----------------------
(5)Factor.
x^2+16x+64
Both ends are squares.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

1.
4x%5E2%2B33x%2B35....replace 33x with 28x%2B5x
4x%5E2%2B28x%2B5x%2B35...group
%284x%5E2%2B28x%29%2B%285x%2B35%29
4x%28x%2B7%29%2B5%28x%2B7%29
%28x%2B7%29%284x%2B5%29
2.
4x%5E2-25x-56....replace -25x with -32x%2B7x
4x%5E2-32x%2B7x-56...group
%284x%5E2-32x%29%2B%287x-56%29
4x%28x-8%29%2B7%28x-8%29
%28x-8%29%284x%2B7%29
3.
6x%5E2-53x%2B40....replace -53x with -48x-5x
6x%5E2-48x-5x%2B40...group
%286x%5E2-48x%29-%285x-40%29
6x%28x-8%29-5%28x-8%29
%28x-8%29%286x-5%29
4.
y%5E2-64
y%5E2-8%5E2
%28y-8%29%28y%2B8%29

5.
x%5E2%2B16x%2B64
x%5E2%2B2%2A8x%2B8%5E2
%28x%2B8%29%5E2
%28x%2B8%29%28x%2B8%29
or, this way
x%5E2%2B16x%2B64....replace 16x with 8x%2B8x
x%5E2%2B8x%2B8x%2B64..group
%28x%5E2%2B8x%29%2B%288x%2B64%29
x%28x%2B8%29%2B8%28x%2B8%29
%28x%2B8%29%28x%2B8%29