Question

Factorise the following: m^2-23m+42

Answer 1

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Answer 2

$\Large{\underline{\underline{\it{Given:}}}}$

• p(x) = m²-23m+42

$\Large{\underline{\underline{\it{To\:Find:}}}}$

• Zeroes of the polynomial

$\Large{\underline{\underline{\it{Solution:}}}}$

→ p(x) = m²-23m+42

→ By splitting the middle term method

   m²-23m+42 = 0

   m²-21m-2m+42=0

→ Taking common factors out, we get

   m(m-21)-2(m-21)=0

   (m-21)(m-2) = 0

→ Either m-21=0

  m=21

→ Or m-2=0

  m=2

$\boxed{\bold{Zeroes\:of\:polynomial\:are\:21\:and\:2}}$

$\Large{\underline{\underline{\it{Notes:}}}}$

The zeros of a polynomial can be found out by

• Factorization method
• Splitting the middle term
• Completing the square method