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Q31 of 137 Page 102

Factorize:
3z² – 10z + 8

Given,

3z² – 10z + 8

Now, first we have to find out the numbers whose-

Sum = - 10 and

Product = 3 × 8 = 24

The numbers are 6 and 4,

So,

3z² – 10z + 8

= 3z² – 6z – 4z + 8

= 3z(z – 2) – 4(z – 2)

= (z – 2)(3z – 4)

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29

Factorize:

3x² + 10x + 8

30

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3y² + 14y + 8

32

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2x² + x – 45

33

Factorize:

6p² + 11p – 10