POLYNOMIALS (LECTURE 4)

POLYNOMIALS

LESSON-4, DAY 2

GOOD MORNING EVERYONE!!

Let us go through the guidelines for  the  blog once again:

·         Red,  is to be 🖉 in your 📖

·         Blue is to be 👀  by ➤

·         Green is to be 💬🖉📗 for home work

•      take your SET-A Mathematics 📖
•   Our📃. It will be 👍, if you use good presentation and cursive 📃
•   Make a column on the RHS, if you need to do any rough work
•     Leave ⓶ lines where you finished yesterday’s work and draw a horizontal line
•     Write today's 📆

LEARNING OUTCOMES Covered So far:

1. RECALL WHAT IS AN ALGEBRAIC EXPRESSION AND DEFINE POLYNOMIAL.

2. RECALL AND DEFINE TERMS AND COEFFICIENTS.

3. DEFINE DEGREE OF A POLYNOMIAL

4. CLASSIFY THE POLYNOMIALS ON THE BASIS OF NUMBER OF TERMS AND DEGREE.

5. COMPREHEND AND MEMORIZE ABOUT SOME SPECIAL POLYNOMIALS.
6. EVALUATE  VALUE OF A  POLYNOMIAL

7 .EVALUATE  ZERO  OF A  POLYNOMIAL.

TODAY'S LEARNING OUTCOMES:

I WILL BE ABLE TO:

1) know that a polynomial can be ÷ by another polynomial.

2) apply division process to polynomials.

3) comprehend remainder theorem.

4) apply remainder theorem to calculate the remainder when a polynomial is ÷ by another polynomial.

Q1) 10 - 6 = 4 , here 4 is known as a (remainder / sum)

Q2)  10 ÷ 2 = 5,here 5 is known as a (remainder/ quotient)

Q3) (10x - 1) - (3) = (10x -4), here (10x -4) is a _____

Q4) (2x + 4)  ÷ 2 =  POSSIBLE ? , please watch the following video (for just first 4min 45 seconds) to check

please observe the image given below

Q5) Divide (2x² + 4x - 7)  ÷ (x + 1)
A5) STEP-1: Write in division format 
       STEP-2: Divide 2x² by x {1st term of dividend by 1st term of divisor}
       STEP-3: Multiply (x + 1) by the answer from step-2
       STEP-4: Subtract & bring down -7{This forms the new dividend}
       STEP-5: Divide 2x by x {1st term of new dividend by 1st term of divisor}

       STEP-6: Multiply (x + 1) by the answer from step-5
       STEP-7: Subtract. The remainder is ____

The above process

gives us two OUTPUTS:

FIRST: The quotient

SECOND: The remainder
Please ➤👇

You heard this word "tedious", in the above audio.

Please write this new word in your diary with today's date:

TEDIOUS : means , too long, slow or dull

Learn to pronounce

Cleaning of our rivers such as Yamuna & Ganga 

had become a tedious process, 

because, 

we as the citizens of India 

were not making full contributions to the process. 

We were still 

littering the rivers through our selfish acts. 

COVID-19 

has corrected this doing of ours.

Read about SDG-14 : Life below water 

Q6) 11 ÷ 2, gives, quotient  = ___, remainder = ___

Q7) In Q6, 11 = 2 × ___ + ___  {Hint: substitute quotient & remainder}

In the questions given below p(x) is divide by g(x). Q8 & Q12 are done as sample for you as an application of remainder theorem. Solve the other questions as per the steps given in the table👇

      

      VERY IMPORTANT NOTE:

If the divisor is given as ( 2 + 3x),

Write as (3x + 2),

or

If the divisor is given as ( 2 - 3x),

Write as (-3x + 2),

before applying remainder theorem

HOME WORK:

Ex. 2.3- Q1,2 & 3