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
Solve : 4x2+2x+3=0 Ans) x^2 + (1/2)x = -(3/4) (x+1/4)^2 = 1/16 - 3/4 = -11/16 implies x = (-1+i(11)^(1/2))/4 and its conjugate.

You are required to implement Kruskal's algorithm for finding a Minimum Spanning Tree of Graph.  This will require implementing : A Graph Data Type (including a display meth

The points A,B,C and D represent the numbers Z1,Z2,Z3 and Z4.ABCD is rhombus;AC=2BD.if  Z2=2+i ,Z4=1-2i,find Z1 and Z3 Ans) B(2,1) , D(1,-2) Mid Point (3/2,-1/2) Write Equati

What is Deductive Reasoning ? Geometry is based on a deductive structure -- a system of thought in which conclusions are justified by means of previously assumed or proved sta

The sum of the series 1+1/2+1/4+......is

What are the marketing communications for Special K

a doctor sees 3 boys to 5 girls in one week . If he sees 40 boys in one day then how many girls does he see that day

Solving Trig Equations : Here we will discuss on solving trig equations. It is something which you will be asked to do on a fairly regular basis in my class. Let's just see the

How to get assignment to solve and earn money

One Tailed Test It is a test where the alternative hypothesis (H 1 :) is only concerned along with one of the tails of the distribution for illustration, to test a business co