INCHARGE TO EDIT THE MODULE
FIRST QUARTERMAAM KATHLEEN ATASAN -including the
WHLP, thinking log, answer sheet, answer
key, activity sheets
SECOND QUARTERMAAM RAINE -including the WHLP,
thinking log, answer sheet, answer key,
activity sheets
THIRD QUARTERMAAM AMPER -including the WHLP,
thinking log, answer sheet, answer key,
activity sheets
FOURTH QUARTERMAAM LAGULAY -including the WHLP,
thinking log, answer sheet, answer key,
activity sheets
INCHARGE FOR THE QUARTER TEST
USING GOOGLE FORM
FIRST QUARTERMAAM WENDY CAPISIN
SECOND QUARTERSIR HALOP
THIRD QUARTER-
FOURTH QUARTER-
The correct answer :
3
3x +13x-16
1.
2. 6x+y+8z
Activity 14: Let’s Do Subtraction!
Let’s Do It This Way: Subtract honestly the given
polynomials below.
Subtract horizontally: (7x – 8 ) – (2x + 4)
Subtract horizontally: (11a2 – 3a + 4) –(2a2 – a + 1)
Subtract vertically:(5y +9) – (8y – 2)
Subtract vertically:(5x2 – 8x + 6) - (3x2 – 3x + 2)
PALMA
Multiplication of Polynomials
Let us first review the laws of exponent that can be applied in
this lesson.
A. Product of Same Bases
In multiplying the same base, add the exponents.
For example,
1. (x2) (x3) = x2 + 3
2. (23) (24) = 23 + 4
(x2) (x3) = x5
(23) (24) = 27
(23) (24) = 2 x 2 x 2 x 2 x 2 x 2 x 2
(23) (24) = 128
PALMA
B. Power to a Power
If an exponent is raise by another exponent,
multiply the exponents and copy the base.
For example,
1. (x2)3 = x2 (3)
(x2)3 = x6
2. (23)3 = 23 (3)
= 29
=2x2x2x2x2x2x2x2x2
(23)3 = 512
PALMA
C. Two bases and an exponent
If an exponent is raise to two bases, raise the
two bases with the exponent.
For example,
1. (ab)2 = (a)2 (b)2
2. (2x)3 = (2)3 (x)3
(ab)2 = a2 b2
= 2 x 2 x 2 (x)3
(2x)3 = 8 x3
PALMA
In multiplying polynomials as
well, we will also use the
distributive property of
equality. For example,
1. 2 (a + 1)
PALMA
Multiply the expression outside the
parenthesis to each term of the
expression inside the parenthesis and
Simplify the equation.
2 (a + 1) = 2 (a) + 2 (1)
Therefore, 2 (a + 1) = 2a + 2.
Activity 15: Let’s Do This Once Again
Let’s Do It This Way: Simplify the given expressions applying
laws of exponent and distributive property.
A.
1. (s4) (s7)
4. (-3m2)3
2. (23)2
5. (-2ab)2
3. (5n)3
B. 1. 2 (x – 2)
2. b (b + 5)
3. 2c (c – 3)
PALMA
Multiplying Monomial by a Polynomial
1: Give the product of (2) (b + 3).
Using the Distributive Property, this is how you do
it.
Multiply monomial to the first term of the
binomial. (Applying Distributive Property)
Multiply monomial to the second term of the
binomial. (Using Distributive Property)
Therefore, 2 (b + 3) = 2b + 6.
(x + 2) (x – 1) = x (x –1)+2 (x–1)
(x + 2) (x – 1) = x (x –1)+2 (x–1)
Multiplying Polynomial by Polynomial
Examples:
(x + 2) (x - 1) = ?
This example can be presented using the distributive
property. This is how to do it.
Multiply the first term of the first binomial to the second
binomial.
Multiply the second term of the first binomial to the second
binomial.
PALMA
(X+2) (x-1)=x(x-1) +2 (x-1)
Get the product of
PALMA
x (x – 1) + 2 (x – 1)
x2 -x +
=
2x -2
Combine like terms.
= x2 – x
= x2
+ 2x
+x
–2
–2
Therefore, (x + 2) (x – 1) = x2 + x – 2
Activity 16: Simplify Me
Let’s Do It This Way: Find the product of polynomial and
polynomial. Show your solution.
Number 1 is done for you.
1. (a – 2) (a + 5)
Answer:(a – 2)(a + 5) = a (a + 5) + (- 2) (a + 5)
= a2 + 5a – 2a – 10
= a2 + 3a – 10
2. (m + 3) (2m – 1)
3. (c – 3) (c2 – 2c + 3)
4. (2x + 1) (x2 – 5x + 2)
That
PALMA
is
all
about
in
multiplication of polynomials.
subtraction
and