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AustraliaVIC
VCE 11 Methods 2023

2.03 Complete the square

Interactive practice questions

How can we find the number to add to $x^2-5x$x25x to make a perfect square trinomial?

Halve the coefficient of $x$x.

A

Square the coefficient of $x^2$x2.

B

Halve the coefficient of $x$x and then square it.

C

Square the coefficient of $x$x.

D
Easy
< 1min

Find the missing values in this perfect square:

Easy
< 1min

What term must we add to complete the square on $x^2+10x$x2+10x?

Easy
< 1min

Determine the value of $c$c, the constant that should be added to $x^2-2x$x22x to make it a perfect square expression.

Easy
< 1min
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Outcomes

U1.AoS2.15

express ax^2+bx+c in completed square form

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