Question

factorize



21. 6z²+7z-3​

Answer 1

Step-by-step explanation:

6z²+7z-3

multiply the last two terms:

6z² × -3 => -18z²

find the factors of -18z²

=> 9z and -2z

the factors should satisfy the condition :

• while adding it should be equal to the middle term.[9z+(-2z)] => 7z
• while multiplying it should be equal to -18z².(9z × -2z => -18z²)

solution :

6z²+7z-3

6z²+9z-2z-3

3z(2z+3) -1(2z+3)

(3z-1) (2z+3)

=> 3z-1=0. => 2z+3 =0

z=1/3. z=-3/2

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