term 2 grade 11 core project the polynomial project done by: abdulla mohammed almuhiri &...

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Term 2 Grade 11 Core Project The Polynomial Project Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed Class : 11.04

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Page 1: Term 2 Grade 11 Core Project The Polynomial Project Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed Class : 11.04

Term 2 Grade 11 Core ProjectThe Polynomial Project

Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed

Class : 11.04

Page 2: Term 2 Grade 11 Core Project The Polynomial Project Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed Class : 11.04

Introduction:The concept of degree of a polynomial is

important, because it give us information about the behavior of the polynomial on the whole. The concept of polynomial functions goes way back to Babylonian times, as a simple need of computing the area of a square is a polynomial, and is needed in buildings and surveys, fundamental to core civilization. Polynomials are used for fields relating to architecture, agriculture, engineering fields such as electrical and civil engineering, physics, and various other science related subjects.

Page 3: Term 2 Grade 11 Core Project The Polynomial Project Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed Class : 11.04

Task 1: Find the polynomial that gives the following values

Page 4: Term 2 Grade 11 Core Project The Polynomial Project Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed Class : 11.04

Write the system of equations in A, B, C, and D that you can use to find the desired

polynomial

Page 5: Term 2 Grade 11 Core Project The Polynomial Project Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed Class : 11.04

Solve the system obtained from part a.

Page 6: Term 2 Grade 11 Core Project The Polynomial Project Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed Class : 11.04

Solve the system obtained from part a.

Page 7: Term 2 Grade 11 Core Project The Polynomial Project Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed Class : 11.04

Find the polynomial that represents the four ordered pairs.

Page 8: Term 2 Grade 11 Core Project The Polynomial Project Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed Class : 11.04

Write the general form of the polynomial of degree 4 for 5 pairs

of numbers.

Page 9: Term 2 Grade 11 Core Project The Polynomial Project Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed Class : 11.04

The Bisection Method for Approximating Real Zeros

Find the zeros of the polynomial found in task 1.

Page 10: Term 2 Grade 11 Core Project The Polynomial Project Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed Class : 11.04

Find to the nearest tenth the third zero using the Bisection Method for Approximating Real Zeros.  

Page 11: Term 2 Grade 11 Core Project The Polynomial Project Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed Class : 11.04

Real World Construction

You are planning a rectangular garden. Its length is twice its width. You want a walkway w feet wide around the garden. Let x be the width of the garden.

Page 12: Term 2 Grade 11 Core Project The Polynomial Project Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed Class : 11.04
Page 13: Term 2 Grade 11 Core Project The Polynomial Project Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed Class : 11.04
Page 14: Term 2 Grade 11 Core Project The Polynomial Project Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed Class : 11.04

Using Technology: 

Use a graphing program to graph the polynomial found in task 1

Page 15: Term 2 Grade 11 Core Project The Polynomial Project Done by: Abdulla Mohammed Almuhiri & Mohammed Saeed Class : 11.04

The End