Factorising Quadratics

Factorising Quadratics

Factorise 6x² + 3x

Multiple Choice

Fully factorise the following expression...

4x - 12

• 4(x - 3)

• 2(2x - 6)

• 2(2x - 3)

• 4(x - 12)

Multiple Choice

Factorise fully: 6x² - 3x

• 3x(2-x)
• 3(2x²-x)
• 3x(2x-1)
• 6x(x-3)

(x + 6)(x - 2)

Multiple Choice

Q2 (x+2)(x-1)

• $x^2\ +3x\ -1$

• $x^2\ +2x\ -2$

• $x^2\ -x\ -2$

• $x^2\ +\ x\ -2$

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If we expanded (x+3)(x+2) into the format

 $x^2\ +bx\ +\ c$  
c would be equal to?

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If we expanded (x+3)(x-2) into the format

 $x^2\ +bx\ +\ c$  
c would be equal to?

Fill in the Blank

If we expanded (x+7)(x+4) into the format

 $x^2\ +bx\ +\ c$  
b would be equal to?

Fill in the Blank

If we expanded (x-2)(x-6) into the format

 $x^2\ +bx\ +\ c$  
b would be equal to?

Fill in the Blank

If we expanded (x-2)(x-6) into the format

 $x^2\ +bx\ +\ c$  
c would be equal to?

Multiple Choice

Factorise the expression:

x² + 5x + 6

• (x + 3)(x + 2)

• (x + 2)(x - 3)

• (x + 5)(x + 1)

• (x - 2)(x - 3)

Multiple Choice

Factorise
x² + 15x + 36

• (x + 6)(x + 6)
• (x + 9)(x +4)
• (x + 4)(x + 9)
• (x + 12)(x + 3)

Multiple Choice

Factorise
x² + 8x + 12

• (x + 3)(x + 4)
• (x + 6)(x + 2)
• (x + 4)(x + 4)
• (x + 1)(x + 12)

Extention x² +5x -6

(x-6)(x+1)

Multiple Choice

Find two numbers that :

- Multiply to make 6

- Add to make 5

• 2 and 3

• 2 and -3

• 6 and -1

• -6 and -1

Multiple Choice

Find two numbers whose:
- Product is -10
- Sum is 3

• 5 and -2
• 2 and -5
• 10 and 1
• 10 and -1

Multiple Choice

Find two numbers whose:
- Product is 20
- Sum is -9

• 3 and -3
• 5 and -4
• -5 and -4
• 5 and 4

Multiple Choice

Find two numbers that :
- Multiply to make 12
- Add to make -7

• 3 and 4
• 2 and 6
• -3 and -4
• -3 and 4

Multiple Choice

Find two numbers that :
- Multiply to make -24
- Add to make 2

• 6 and -4
• -4 and -6
• 3 and -8
• 12 and -2

Multiple Choice

Factor:
x² + 5x - 24

• (x - 8)(x + 3)
• (x + 8)(x - 3)
• (x + 6)(x - 4)
• (x + 12)(x - 2)

Multiple Choice

Factor:

x² + 11x + 24

• (x + 6)(x + 4)

• (x + 12)(x + 2)

• (x - 8)(x - 3)

• (x + 8)(x + 3)

Multiple Choice

Factorise
x² - 6x - 16

• x(x - 6)
• (x - 8)(x - 2)
• (x + 2)(x - 8)
• (x - 4)(x - 4)

Multiple Choice

Factorise
x² + 4x - 12

• (x + 6)(x - 2) 
• (x - 4)(x + 2)
• (x - 6)(x + 2)
• (x - 6)(x - 2)

Multiple Choice

Factorise
x² - 8x + 12

• (x - 12)(x + 4)
• (x + 6)(x - 2)
• (x + 6)(x + 2)
• (x - 2)(x - 6)

Multiple Choice

Factorise
x² - 7x + 6

• (x - 6)(x - 1)
• (x + 4)(x + 2)
• (x + 1)(x + 6)
• (x - 10)(x + 3)