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Factorising a Binomial

Factorize Y2 ...

Question

Factorize: $y^{2} - 5 y + 6$

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Solution

Factorize the Expression:
The given expression is,
$y^{2} - 5 y + 6 = y^{2} - 2 y - 3 y + 6$
$= y (y - 2) - 3 (y - 2)$
$= (y - 2) (y - 3)$
Hence the factors of $y^{2} - 5 y + 6$ are $(y - 2)$ and $(y - 3)$ .

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Similar questions

Q. Factorize the following polynomials.
(i) (x² – x)² – 8 (x² – x) + 12
(ii) (x – 5)² – (5x – 25) – 24
(iii) (x² – 6x)² – 8 (x² – 6x + 8) – 64
(iv) (x² – 2x + 3) (x² – 2x + 5) – 35
(v) (y + 2) (y – 3) (y + 8) (y + 3) + 56
(vi) (y² + 5y) (y² + 5y – 2) – 24
(vii) (x – 3) (x – 4)² (x – 5) – 6

Factorise y²-5y+6 by using factor theorem

3 - 5 x + 5 y - 12 {(x - y)}^{2}

Factorize the following

y^{2} + 5 y - 36

Q. FACTORIZE:--
( i ) x²+ 8x + 15
( ii ) x² -- 23x + 132
( iii ) y²+ 5y -- 36
( iv ) y² + 2y -- 120
( v ) 4x² -- 12x + 5
( vi ) 6x² -- 13x+ 6
( vii ) p² + 15p + 56
( vii ) x² -- 11x -- 42

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