Factorisation of Quadratic expression Flashcards

1
Q

The cross method is also known as the _______ ?

A

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

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2
Q

ax2 + bx + c

what does a, b and c represent

A

a is the coefficient of x2

b is the coefficient of x

c is the constant

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3
Q

If a = 1

x2 + bx + c

how to find the factors of the expression

A

The factor is such that

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

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4
Q

Factorise x2 + 5x + 6

Rewrite the expression such that the middle and the third interchange

A
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5
Q

Factorise x2 + 5x + 6

List out the factors of 6

A

the factors of 6

1 * 6

2 * 3

  • 1 * (-6)
  • 2 * (-3)
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6
Q

Factorise x2 + 5x + 6

Select the pair of factors that add up to 5

A

1 + 6 = 7 (no)

2 + 3 = 5 (yes)

  • 1 + (-6) = -7 (no)
  • 2 + (-3) = -5 (no)
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7
Q

Factorise x2 + 5x + 6

What is the final answer?

A

arranged horizontally

(x + 2)(x + 3)

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8
Q

Factorise x2 - 5x + 6

Rewrite the expression such that the middle and the third interchange

A
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9
Q

Factorise x2 - 5x + 6

List out the factors of 6

A

the factors of 6

1 * 6

2 * 3

  • 1 * (-6)
  • 2 * (-3)
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10
Q

Factorise x2 - 5x + 6

Select the pair of factors that add up to -5

A

the factors add up to -5

1 + 6 = 7 (no)

2 + 3 = 5 (no)

  • 1 + (-6) = -7 (no)
  • 2 + (-3) = -5 (yes)
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11
Q

Factorise x2 - 5x + 6

What is the final answer?

A

arranged horizontally

(x - 2)(x - 3)

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12
Q

Factorise x2 - x - 6

Rewrite the expression such that the middle and the third interchange

A
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13
Q

Factorise x2 - x - 6

List out the factors of -6

A
  • 1 * 6
  • 2 * 3

1 * (-6)

2 * (-3)

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14
Q

Factorise x2 - x - 6

Select the pair of factors that add up to -1

A

the factors add up to -1

  • 1 + 6 = -5 (no)
  • 2 + 3 = 1 (no)

1 + (-6) = 5 (no)

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

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15
Q

Factorise x2 - x - 6

What is the final answer

A

Arranged horizontally

(x - 3)(x + 2)

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