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

Question

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

in progress 0
Khoii Minh 5 years 2021-07-25T02:35:53+00:00 2 Answers 23 views 0

Answers ( )

  1. mit
    0
    2021-07-25T02:37:42+00:00
    Reply

    Answer:

    (x +5 ) is a factor

    Step-by-step 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

  2. diemthu
    0
    2021-07-25T02:37:50+00:00
    Reply

    Answer:

    yes

    Step-by-step 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)

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )