NZ Level 6 (NZC) Level 1 (NCEA)
Fully factorise after completing the square
Lesson

#### Worked examples

##### Question 1

Factorise the quadratic using the method of completing the square to get it into the form $y=\left(x+a\right)\left(x+b\right)$y=(x+a)(x+b).

$y=x^2+4x+3$y=x2+4x+3

##### Question 2

Factorise the quadratic using the method of completing the square to get it into the form $y=\left(x-a\right)\left(x-b\right)$y=(xa)(xb).

$y=x^2-11x+28$y=x211x+28

##### Question 3

Factorise the quadratic using the method of completing the square to get it into the form $y=\left(x+a+\sqrt{b}\right)\left(x+a-\sqrt{b}\right)$y=(x+a+b)(x+ab).

$y=x^2+8x+14$y=x2+8x+14

### Outcomes

#### NA6-5

Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns

#### 91027

Apply algebraic procedures in solving problems