POLYNOMIALS ( LECTURE 7)

POLYNOMIALS ( lecture  7)

Good morning Boys!!!!!!!!!!!

Today's learning outcomes:
I WILL BE ABLE TO;

• Apply the relationship between zeroes and coefficients of a polynomial to various forms of algebraic expressions.

• recall and define division algorithm for polynomials 
• apply division algorithm to solve questions. 

                             

Let us recall the following:
DIVISION ALGORITHM FOR POLYNOMIALS

If p(x) and g(x) are any two polynomials with g(x) ≠0, then we can find polynomials q(x) and r(x) such that
p(x) = g(x) × q(x) + r(x),
where r(x) = 0 or degree of r(x) ;degree of g(x).
This result is known as the Division Algorithm for polynomials

If α, β are zeroes / roots of p(x) = a x2 + bx + c, then

              

How to find all the zeroes of  Bi quadratic polynomial (the word bi quadratic means degree is four)

Watch and comprehend by clicking on the given link 👇👇👇

https://www.youtube.com/watch?v=hIxgtoNzQDo

Now we will solve and see all the zeroes of a bi quadratic polynomial.

Exercise 2.3(do solve in your register)

 

Exercise 2.4(optional Exercise)

(do solve in your register)

All the above sums are to be done in your register as class work. Before we say the chapter is over let us do some more questions ...........

TRY THESE

1Q 1. If α,β,γ are zeroes of the polynomial 4x³– 2x²+x -1,  then find the value of α^-1 +  β^-1  + γ^-1.

.   2.    If α,β,γ are the zeroes of the cubic polynomial x³ + 4x + 2, then find the value of (1/α+β) + (1/β+γ)+(1/γ+α).

.    3.  If α,β are the zeroes of the polynomial 2x² – 5x + 7, then find a polynomial whose zeroes are 2α+3β, 3α+2β. 

  Now you prepare well for the class test....See you in the next class