NZ Level 6 (NZC) Level 1 (NCEA)
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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

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