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X^3+5x^2+3x+15 factor the polynomial

2 Answers

2 votes

Answer:

( x + 5 ) (x² + 3)

Step-by-step explanation:

x³ + 5x² + 3x + 15

factor out x²

x² ( x + 5 ) + 3x + 15

factor out 3

( x + 5 ) + 3 ( x + 5 )

factor out x + 5 from the expression

( x + 5 ) (x² + 3)

User Illiax
by
3.3k points
1 vote

Answer:

(x+5) (x^2+5)

Explanation:

x^3+5x^2+3x+15

Using factoring by grouping

x^3+5x^2 +3x+15

x^2(x+5) + 3(x+5)

Factor out (x+5)

(x+5) (x^2+5)

User Lukee
by
3.1k points