Lesson Plan

1. EAST MALUNGON DISTRICT
Malungon, Sarangani Province
GRADE 10 - SUNFLOWER
Daily Lesson Log/Plan
School DAKOK TAMULON IS Subject MATHEMATICS
Name of Teacher EMELITA F. CARILLO Quarter FIRST
Teaching Date October 3-7, 2022 Week 7
DAY MON TUES WED THURS INTERVENTION
TIME (9:45-11:45AM) (9:45-11:45AM) Fri
I. Objective/s
(Layunin)
 illustrates polynomial equations.  illustrates polynomial equations.  Individual
Cooperative
Learning through
worksheets on
solving problems
involving
polynomials and
polynomial
equations.
CODE M10AL - Ii - 1 M10AL - Ii - 1
II. Subject
Matter
(Paksang-Aralin)
Algebra Algebra
A. Topic
(Paksa)
Polynomial Equations Polynomial Equations
B. Reference
(Sanggunian)
Localized SLM of Region IV-A
CALABARZON,Wilfredo E. Cabral., et. Al,
2020
Localized SLM of Region IV-A
CALABARZON,Wilfredo E. Cabral., et.
Al, 2020
C. Materials
(Kagamitan)
PPT, Chalk and Board, Worksheets PPT, Chalk and Board, Flash Cards
III. Procedure
(Pamamaraan)
Review/Motivat
ion
“Math Games”E “Math Games”

2. A. Activity
(Gawain)
Identify if the given equation is a polynomial
equation or not. Write P if polynomial
equation and NP if not.
Write the terms of expression in the
descending order. Determine the
degree, the leading coefficient and the
constant term.
B. Analysis
(Paglalah
ad)
1. How you will know if the equation is a
polynomial equation?
2. What are the restrictions in determining if
the given equation is a polynomial?
1. How you to transform a polynomial
equation in standard form? State
some steps based on your
understanding.
C. Abstract
ion
(Paglalah
at)
A polynomial equation is a special kind of
algebraic equation where each term is a
constant, a variable, or a product of
constants and variables raised to whole
number exponents.
It is defined by anxn+an-1xn-1+an-2xn-
2+…+a1x+a0 = 0, where n is a positive
integer. The largest exponent n denotes the
degree of the polynomials.
In solving polynomial equations, we
apply the Factor Theorem. But when the
equation is expressed as linear factors,
the Zero Product Property will be directly
applied to solve its solution.
Illustrative Example 1.
Consider the equation, (x –2)(2x +
3)(x+1) = 0, since the equation is

3. From the previous activity you identified
which equations are polynomial and which
are not. Hereunder are the answers and
explanations:
Remember that polynomial P(x) = anxn +
an-1xn-1 + . . . + a0, where a is real number,
an is not 0 and n is a positive integer.
presented as linear factors, then we can
say that , (x—2) =0, (2x + 3) = 0 and (x +
1) = 0 by Zero Product Property. Solving
each linear equations would yield to
which is the
solution to the given polynomial
equation.
Illustrative Example 2
Now what if the polynomial is not in
factored formed? How are we going to
solve its solution? Below are the steps in
solving polynomial equations in standard
form.
Step 1. List all the possible roots of the
polynomial equation using Rational Root
Theorem.
From the equation where the factors of p
and q written in the form of are the
possible solution to the equation.
Therefore the possible roots are
Step 2. Apply the Factor Theorem and
use the synthetic division to check if one
of the listed roots is a factor. If it’s a factor
then its also one of the solutions to the
polynomial equation.

4. Note: A polynomial equation is in its
standard form when its exponents are in
descending order.
The following are the terms to remember
about polynomial equation:
Degree – the highest among the exponents
on the given equation. Leading
Coefficient – is the number written in front of
the variable with the largest exponent.
Constant – is the term of degree 0; it is the
term in which the variable does not appear.
Example:
1. In the polynomial equation 4𝑥 3 - 2𝑥 2 +
3x – 6 = 0, the degree is 3, the leading
coefficient is 4 and the constant term is -6.
The equation is also already in its standard
form since its exponents are arranged in
descending order.
2. 𝑥 3 + 5𝑥 2 - 2𝑥 5 + 7 + 3𝑥 4 = 9x
Rearranging, we have, - 2𝑥 5 + 3𝑥 4 + 𝑥 3 +
5𝑥 2 - 9x + 7 = 0 as its standard form. The
degree is 5, leading coefficient is -2 and the
constant term is 7.
Since the last entry on the last row is 0,
then 1 is a solution to the polynomial
equation where its depressed equation
would be .
Write polynomial equation given its
roots.
The roots of an equation are the values
that make it equal zero. If this is a regular
polynomial, then that means there are as
many factors (at least) as there are roots.
So the equation is the product of three
factors if there are three roots. Each root
corresponds to one of the factors
equaling zero, so you can deal with them
individually. Think of each of the roots as
a separate function if you like:
Example: Find a polynomial equation
with roots -3, 4 and 2. We have, x=-3,
x=4, and x=2. Equating it to 0 and by
simplifying, we have;

5. Therefore, the polynomial equation with
roots -3, 4 and 2 is 𝒙 𝟑 - 3𝒙 𝟐 – 10x + 24
= 0.
D. Applicati
on
(Paglalap
at)
Write the terms of expression in descending
order. Determine the degree, the leading
coefficient, and the constant term.
Find the polynomial equations given the
following roots.
1. -1, -2, 5
2. 3, 6, 4
3. -2, -4, -2
IV.Evaluation
(Pagtataya)
Write the terms of expression in the
descending order. Determine the degree,
the leading coefficient and the constant
term.
Find the polynomial equations given the
following roots.
1. 4, 7, 9
2. 2, 3,5
3. -1, -3, -5

6. Prepared by: Noted by:
EMELITA F. CARILLO NEIL C. ESTANDA
Teacher I School Principal I
V.Assignment/
Agreement
(Takdang-aralin)
1. How you to transform a polynomial
equation in standard form? State
some steps based on your
understanding.
 Write examples with solutions on
how to solve problems involving
polynomials and polynomial
equations.
Mastery Level ______ of _______
_______ % ML
______ of _______
_______ % ML
Remarks
Reflection