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Factorization — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSFactorization1 Mark
MCQ
Tick $(\checkmark)$ the correct answer:
$4z^2 - 8z + 3 = \ ?$
  • ✓
    $(2z - 1)(2z - 3)$
  • B
    $(2z + 1)(3 - 2z)$
  • C
    $(2z + 3)(3z - 1)$
  • D
    $(z - 1)(4z - 3)$
✓

Answer

Correct option: A.
$(2z - 1)(2z - 3)$
A.  $(2z - 1)(2z - 3)$
Solution:
$4 z^2-8 z+3 $
$ =4 z^2-6 z-2 z+3 $
$ \{4 \times 3=12,12=(-6) \times(-2),-8=-6-2\} $
$ =2 z(2 z-3)-1(2 z-3) $
$ =(2 z-1)(2 z-3)$

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