Ask Experts Questions for FREE Help !
Ask
    laurashaver's Avatar
    laurashaver Posts: 1, Reputation: 1
    New Member
    		  
    #1

    Sep 17, 2009, 05:35 PM
    Factoring in Advanced Functions Grade 12
    How do you factor 4x²-10x+6?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
    Expert
    		  
    #2

    Sep 18, 2009, 06:24 AM

    It will require a little perseverance:

    1. Since the middle term is minus and the last term is positive, this means that the two factors must be of the form (ax-b)*(cx-d); that is, there's a minus sign in each. Do you see why?

    2. The middle term, -10, comes from ad+bc. So now the trick is to look at the possible values for a, b, c, and d that satisfy this. First, 4=ac, so a and c can be either 4 and 1 (in either order) or 2 and 2. Second, 6=bd, so b and d can be either 6 and 1 or 2 and 3 (in either order). So now it's a matter of trying all these combinations and finding one that works. There is one, so keep at it! Post back if you're still having trouble.
    mrsu's Avatar
    mrsu Posts: 2, Reputation: 1
    New Member
    		  
    #3

    Oct 29, 2009, 07:19 AM

    (x+y)^2-64
    mrsu's Avatar
    mrsu Posts: 2, Reputation: 1
    New Member
    		  
    #4

    Oct 29, 2009, 07:20 AM
    how do I factor (x+y)^2-64
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
    		  
    #5

    Oct 29, 2009, 08:09 AM

    You should have started another thread, mrsu...

    Ok, look at it carefully, you have the difference of two perfect squares, right?

    Well you should know that

    Use that to solve your problem. :)
    answers12's Avatar
    answers12 Posts: 1, Reputation: 1
    New Member
    		  
    #6

    Nov 18, 2009, 01:52 PM
    (x+y-8)*(x+y+8) difference of squares

    let a=x+y & b=8

    a^2-b^2=(a-b)*(a+b)
    joynad's Avatar
    joynad Posts: 2, Reputation: 1
    New Member
    		  
    #7

    Mar 3, 2010, 08:07 PM
    Quote Originally Posted by ebaines View Post
    It will require a little perseverance:

    1. Since the middle term is minus and the last term is positive, this means that the two factors must be of the form (ax-b)*(cx-d); that is, there's a minus sign in each. Do you see why?

    2. The middle term, -10, comes from ad+bc. So now the trick is to look at the possible values for a, b, c, and d that satisfy this. First, 4=ac, so a and c can be either 4 and 1 (in either order) or 2 and 2. Second, 6=bd, so b and d can be either 6 and 1 or 2 and 3 (in either order). So now it's a matter of trying all these combinations and finding one that works. There is one, so keep at it! Post back if you're still having trouble.
    x=1 or x-1.5
    joynad's Avatar
    joynad Posts: 2, Reputation: 1
    New Member
    		  
    #8

    Mar 3, 2010, 08:08 PM

    x=1 or x=1.5
Not your question? Ask your question View similar questions
 

Question Tools Search this Question
Search this Question:

Advanced Search


Check out some similar questions!

How to solve trig functions applications for advanced functions? [ 2 Answers ]

A point on the ocean rises and falls as wave pass Suppose that a wave passes every 4 s, and the height of each wave from the crest to the trough in 0.5 m. a) how do we graph the height of the point relative to tis average height for a complete cycle, starting at the crest of a wave. And how do...

12th Grade Advanced Functions [ 5 Answers ]

prove this trigonomteric identities I did soooo many trial and errors can't get it . tan(x-y) + tan(y-z) = (sec^2y) (tanx-tanz) / (1 + tanxtany)(1+tanytanz) thank you so much in advance

Grade 12 advanced functions [ 1 Answers ]

Find the Equation whose roots are the squares of the reciprocals of the roots of x^2+6x-2=0

Grade 12 Advanced Functions [ 1 Answers ]

1) Solver for x: log7(x+4) + log7(x-2)=1

Functions and factoring [ 3 Answers ]

Graph f(x)=2x^5-3x^4-11x^3+9x^2+15x. Compute f(f(-1)). Factor f and find it's zeroes.

View more questions Search