factories the following x³+13x²+32x+20
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Answer:
x^2 (x)+x (13x)+x (32)+20
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Given : -
Factories the following x³+13x²+32x+20
Step-by-step Explanation : -
Factors of 20 = ±1 , ±2 , ±4
- Put x (-2)
x³ + 13x² + 32x + 20
(-2)³ + 13(-2)² +32(-2) + 20
-8 + 13(4) - 64 + 20
-8 + 52 - 64 + 20
-72 + 72 = 0
- x = -2
- x + 2 is factor of p(x)
( Refer to the Attachment )
(x + 2) (x² + 11x + 10)
(x + 2) (x² + 10x + 1x + 10)
(x + 2) (x (x + 10) + 1 (x + 10)
(x + 2) (x + 1) (x + 10)
Attachments:
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