Factoring – the process of undoing multiplication Factoring – the process of undoing multiplication


НазваFactoring – the process of undoing multiplication Factoring – the process of undoing multiplication
Дата конвертації26.05.2013
Розмір460 b.
ТипПрезентации


Factoring – the process of undoing multiplication

  • Factoring – the process of undoing multiplication

  • (x + 2)(x + 3) = x2 + 5x + 6

  • Factored Multiplied

  • form form


x(x – 6) = x2 – 6x

  • x(x – 6) = x2 – 6x

  • Factored Multiplied

  • form form



Let’s refer to the graphic organizer.

  • Let’s refer to the graphic organizer.

  • We will start at the top.



The greatest common factor of two or more whole numbers is the largest whole number that divides evenly into each of the numbers.

  • The greatest common factor of two or more whole numbers is the largest whole number that divides evenly into each of the numbers.



Choose the variable with the smallest

  • Choose the variable with the smallest

  • exponent.

  • What is the GCF of x and x2?

  • What is the GCF of x3 and x?

  • What is the GCF of x2 and x3?



3x – 6

  • 3x – 6

  • 2x + 12

  • 12x + 9

  • x2 – 6x

  • 4x2 – 2x

  • 5x3 – 15x2



Remove GCF and in parentheses write what is left

  • Remove GCF and in parentheses write what is left

  • 3x – 6 GCF = 3

  • 3( ) What is left after 3 is removed?

  • 3(x – 2) Answer





3x – 6

  • 3x – 6

  • 2x + 12

  • 12x + 9

  • x2 – 8x

  • 4x2 – 12x

  • 5x3 – 25x2







Remember, we undo multiplying! Пам'ятайте, ми скасувати множення!

  • Remember, we undo multiplying! Пам'ятайте, ми скасувати множення!

  • x2 + 5x + 6

  • 1. Is there a GCF? Чи GCF?

  • ( x + 2 )( x + 3 )

  • To factor a trinomial, it breaks down into a product of binomials

  • Для фактора тричлена, вона розпадається на продукт біном



x2 + 5x + 6

  • x2 + 5x + 6

  • ( x ) ( x ) x2 = x ▪ x

  • What are the factors of 6? Які фактори 6?

  • 1, 6 -1, -6 2, 3 -2, -3

  • Which pair adds to be 5? Яка пара додає в 5? 2, 3

  • (x + 2)(x + 3) Answer



x2 + 7x + 12

  • x2 + 7x + 12

  • x2 + 12x + 20

  • x2 – 2x – 24

  • x2 + 8x + 12





Must have 2 perfect squares

  • Must have 2 perfect squares

  • Must have subtraction (difference)

  • A variable is a perfect square if the exponent is an even number.



IS IT A DTS?

  • IS IT A DTS?

  • X2 + 25

  • X2 – 16

  • X5 – 81

  • 16x2 – 100

  • 25x4 – 16x

  • X2 + 10x + 25



1. x2 – 16

  • 1. x2 – 16

  • 2. x2 – 100



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