Factorisation of Quadratic expression Flashcards Preview

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Flashcards in Factorisation of Quadratic expression Deck (15)
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1

The cross method is also known as the _______ ?

The trail and error method as we may require to try different combinations to arrive at the correct answer

2

ax2 + bx + c

what does a, b and c represent

a is the coefficient of x2

b is the coefficient of x

c is the constant

3

If a = 1

x2 + bx + c

how to find the factors of the expression

The factor is such that

c is divided into its factors such that when the factors are added up, they will equal to b

4

Factorise x2 + 5x + 6

Rewrite the expression such that the middle and the third interchange

5

Factorise x2 + 5x + 6

List out the factors of 6

 the factors of 6

1 * 6

2 * 3

-1 * (-6)

-2 * (-3)

6

Factorise x2 + 5x + 6

Select the pair of factors that add up to 5

 

1 + 6 = 7 (no)

2 + 3 = 5 (yes)

-1 + (-6) = -7 (no)

-2 + (-3) = -5 (no)

7

Factorise x2 + 5x + 6

What is the final answer?

arranged horizontally

(x + 2)(x + 3)

8

Factorise x2 - 5x + 6

Rewrite the expression such that the middle and the third interchange

9

Factorise x2 - 5x + 6

List out the factors of 6

the factors of 6

1 * 6

2 * 3

-1 * (-6)

-2 * (-3)

10

Factorise x2 - 5x + 6

Select the pair of factors that add up to -5

 

the factors add up to -5

1 + 6 = 7 (no)

2 + 3 = 5 (no)

-1 + (-6) = -7 (no)

-2 + (-3) = -5 (yes)

11

Factorise x2 - 5x + 6

What is the final answer?

arranged horizontally

(x - 2)(x - 3)

12

Factorise x2 - x - 6

Rewrite the expression such that the middle and the third interchange

13

Factorise x2 - x - 6

List out the factors of -6

 

-1 * 6

-2 * 3

1 * (-6)

2 * (-3)

 

14

Factorise x2 - x - 6

Select the pair of factors that add up to -1

the factors add up to -1

-1  + 6 = -5 (no)

-2 + 3 = 1 (no)

1 + (-6) = 5 (no)

2 + (-3) = -1 (yes)

 

15

Factorise x2 - x - 6

What is the final answer

Arranged horizontally

(x - 3)(x + 2)