Question

factorise by using long division method x³+13x²+32x+20
pls solve this!!!​

Answer 1

Aɴsᴡᴇʀ : -

x³ + 13x² + 32x + 20

Rєmαíndєr thєorєm :-

If x = 1

P ( x ) = P ( -1 )

P( -1 ) = ( -1 ) ³+ 13 ( -1 ) ²+ 32 ( -1 ) + 20

= -1 + 13 - 32 + 20

= 0

Dívísíon αlgorítm :-

( Rєplαce + to - αnd - to + whílє subtrαctíng )

x² + 12x + 20

━━━━━━━━━━━━━━

x + 1 x³ + 13x² + 32x + 20

x³ + 1x² ↓

━━━━━━━━━━━━━━

+ 12x² + 32x

+ 12x² + 12x ↓

━━━━━━━━━━━━━━

+ 20x + 20

+ 20x + 20

━━━━━━━━━━━━━━

0

━━━━━━━━━━━━━━

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