Multiply the polynomials, Mathematics

Multiply following.

(a) (4x2-x)(6-3x)

(b) (2x+6)2

Solution

 (a) (4x2 - x )(6 - 3x )

Again we will only FOIL this one out.

(4x2  - x )(6 - 3x) = 24x2 -12x3 - 6x + 3x2 = -12x3 + 27 x2 - 6x

 (b) (2x+6)2

Now recall that 42 = ( 4)( 4)= 16 .  Squaring with polynomials works the same way.  Thus in this case we have,

( 2x + 6)2  = ( 2 x + 6) ( 2 x+ 6) = 4x2 + 12x + 12x + 36= 4x2 +24x + 36

Following are example of some formula

 ( a + b ) ( a - b ) = a2 - b2

( a + b )2  = a2 + 2ab + b2

( a - b )2  = a2 - 2ab + b2

Be careful to not make the following mistakes!

(a + b) 2 ≠ a2 + b2

(a - b )2  ≠ a2  - b2

These are very common mistakes that students often make while they start first learning how to multiply polynomials.

Posted Date: 4/6/2013 2:30:46 AM | Location : United States







Related Discussions:- Multiply the polynomials, Assignment Help, Ask Question on Multiply the polynomials, Get Answer, Expert's Help, Multiply the polynomials Discussions

Write discussion on Multiply the polynomials
Your posts are moderated
Related Questions
what is the least number of faces and bases the paperweight could have?

a group of 3o students is planning a thanksgiving party items needed hats @ $2.50 each.noise makers@$4.00 per pack of 5.Ballons @$5.00 per pack of 10.how many packs of noisemakers

Q. Definition of Random Variables? Ans. Up to this point, we have been looking at probabilities of different events. Basically, random variables assign numbers to element

why we study integration..?? uses

How do you find the second minimum spanning tree of a graph?  Find the second minimum spanning tree of the following graph.  Ans: The second minimum spanning tree is acq

How do you find the maxima or minima on a parabolic graph?


what is division

how can I compare fractions with unlike denominators?