Question

Factorize the following experssions :- (a) z2+6z+8 (b)Z2-10z+21 (c) z2+6z-16 ​

Answer 1

Answer:

1. z^2 + 6z+ 8

= (z^2+2z)+(4z+8)

= z (z+2) + 4 (z+2)

= (z+4)(z+2)

2. z^2 -10z+21

= (z^2 -7z) - (3z+21)

= z (z-7) - 3 (z-7)

= (z-3)(z-7)

3. z^2 + 6z-16

= (z^2 +8) - (2z-16)

= z (z+8) + 2 (z-8)

= (z-2)(z-8)

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