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(1I) Perfect squares factorisation

Activity 1

Look for perfect squares and factorize if possible.
If it is not possible, type “no”.

a) $x^2+6x+9$

b) $x^2+4x+9$

c) $x^2-13x+25$

d) $x^2-10x+25$

e) $x^2+16x+64$

f) $x^2+8x+64$

g) $x^2-14x+49$

h) $x^2-7x+49$

i) $x^2+14x-49$

j) $x^2-14x-49$

Activity 2

Look for perfect squares and factorize if possible.
If it is not possible, type “no”.

a) $4x^2+4x+1$

b) $4x^2+2x+1$

c) $9x^2-12x+4$

d) $9x^2-16x+4$

e) $25x^2+18x+16$

f) $25x^2+40x+16$

g) $49x^2-26x+36$

h) $49x^2-84x+36$

i) $49x^2+84x-36$

j) $-49x^2-84x-36$
Example 26


*Write your answers in the form $\left( a \pm b \right)^2$

a)

b)
Example 27


*a) Write your answer in the form $\left( a \pm b \right)^2$
*b) Write your answer in the form $-a \left( b \pm c \right)^2$

a)

b)

Suggested Practice

(1I on P.47) #1, 2 odd letters