Question

Is x + 5 a factor of P(x) = x ^ 3 + 4x ^ 2 + 2x + 35

Answer 1

yes

Explanation:

If ( x + 5) is a factor of p(x) then p(- 5) = 0

p(- 5)

= (- 5)³ + 4(- 5)² + 2(- 5) + 35

= - 125 + 100 - 10 + 135

= 0

Since p(- 5) = 0 then (x + 5) is a factor of p(x)

Answer 2

(x +5 ) is a factor

Explanation:

x + 5 = 0

x = -5

P(x) = x³ + 4x² + 2x + 35

P(-5) = (-5)³ + 4*(-5)² + 2*(-5) + 35

= -125 + 4*25 - 10 + 35

= -125 + 100 - 10 + 35

= -25 -10 +35

= -35 + 35

= 0

P(-5) = o. So, (x +5 ) is a factor