Strategic Intervention Material

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16x2 + 4xy 2 - 4xy - y 16x2 + 0xy – y2 Arrange the terms in descending form

Operations on Polynomials: Multiplicatio n

(4x - y)(4x + y) = 16x2 – y2

Special Product Patterns Sum and Difference (a+b)(a-b)=a²-b² Example (x+3)(x-3) = x²-9

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uide Card Square of a Binomial (a+b)²=a²+2ab+b² (a-b)²=a²-2ab+b² Example (y+4)²=y²+8y+16 (3t²-2)²=9t4-12t²+4

In dealing with Polynomials, we must be knowledgeable on how operations are made with them. In multiplying Cube of a Binomial polynomials, the properties (a+b)³=a³+3a²b+3ab² of real numbers, laws of +b³ exponents and law of signs (a-b)³=a³-3a²b+3ab²-b³ must be rendered the most. Example Ex. (4x – y)(4x + y) (x+1)³=x³+3x²+3x+1 1

1. (x+4)² 2. (x+9)(x-2)(x+7) 3. (x+6)(x+5) 4. (x²-6x+5) + (x²+x-2) 5. (16-13x) – (10x-11) 6. (7y-x)² 7. (x+3)(x-4)(x+7) 8. 5x²(x-3) 9. 3x + (7x+2-6x²+2x³) 10. (7x³-1) – (10x³+4x²2x+4)

(p-2)³=p³-6p²+12p-8 Sharpen your Skills Multiply the following: 1. (x)(x)= _____________________ 2. 2x (1+3x)= ___________________ 3. x • x • x • y= _____________

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ctivity Card

Multiply the following 1. 5x(3x²-x+3)

A. Use the laws of

2. 10x²(x-5)

exponent to find the product of the following:

3. (x+1)(5x³-x²+x-4) 4. (x-5)(x+5)

(6xy)(7x2y) 2. (-8x2y)(-4x2y) 3. -2/3xy(6x2y – 9xy2 + 12 xy) 4. (x + 5y)(x+3y) 5. 5x2y3z3(5xy – 7x2y) 1.

B. Multiply the following

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5. (2x+5)(3x³-x²+x)

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nrichment Card

applying the special product patterns: 2

1. 2. 3. 4.

Simplify (4x2 – 4x – 7)(x + 3) Simplify (x + 2)(x3 + 3x2 + 4x – 17) Simplify (3x2 – 9x + 5)(2x2 + 4x – 7) Simplify (x3 + 2x2 + 4)(2x3 + x + 1)

Student’s Notes

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eference Card

www.WebMath.com Making Connections in Mathematics IV by Generoso Obaña and Edna Mangaldan

Answer Key Sharpen your Skills 1.

__________________________

2.

__________________________

3.

__________________________ __________________________ __________________________

x2 2x + 6x2 x3 y

Activity Card A.

__________________________ __________________________ __________________________

1. 2. 3. 4. 5.

42 x3y2 32x4y2 4x3y2 – 6x2y3 + 8 x2y2 x2 + 15y2 + 8xy 25 x3y4z3 – 35 x4y4z3

1. 2. 3. 4. 5. 6.

x²+8x+16 x³+14x²+31x-126 x²+11x+30 2x²-5x+3 -23x+27 49y²-14xy+x

__________________________ __________________________ __________________________ __________________________ __________________________ __________________________

B.

__________________________ __________________________

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7. x³+6x²-19x-84 8. 5x³-15x² 9. 2x³-6x²+10x+2 10. 3x³+4x²-2x-5

Assessment Card 1. 15x³-5x²+15x 2. 10x³-50x² 3. 5x4+4x³-3x-4 4. X²-25 5. 6x4+13x³-3x²+5x

Enrichment Card 1. 2. 3. 4.

4x3 + 8x2 – 19x – 21 x4 + 5x3 + 10x2 – 9x – 34 6x4 – 6x3 – 47x2 + 83x – 35 2x6 + 4x5 + x4 + 11x3 + 2x2 + 4x + 4

This humble SIM is brought to you by Gonzales , April Jane C., 4-B, S.Y. 2009-

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