Multiply the following using the vertical multiplication method 3×2 – 5x +1 XX + 2x + 4 O A. 3×4 + x2 +10×7 – 18x + 4 O B. 3×4 +x+3×2 – 18x

Question

Multiply the following using the vertical multiplication method 3×2 – 5x +1 XX + 2x + 4 O A. 3×4 + x2 +10×7 – 18x + 4 O B. 3×4 +x+3×2 – 18x + 4 O C. 3×4 + x + 10×2 + x + 4 O D. 3×4 D. 3×4 – x2 + 3×2 + 18x + 4​

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Đan Thu 3 years 2021-08-18T03:57:22+00:00 1 Answers 43 views 0

Answers ( )

  1. kimcuc
    0
    2021-08-18T03:58:24+00:00
    Reply

    Answer:

    ANSWER

    C.

    3 {x}^{4} – {x}^{3} + 3{x}^{2} + 18x + 43x

    4

    −x

    3

    +3x

    2

    +18x+4

    EXPLANATION

    We want to multiply;

    (3 {x}^{2} + 5x + 1)( {x}^{2} – 2x + 4)(3x

    2

    +5x+1)(x

    2

    −2x+4)

    We use the distributive property to obtain:

    3 {x}^{2} ( {x}^{2} – 2x + 4) + 5x( {x}^{2} – 2x + 4) + 1( {x}^{2} – 2x + 4)3x

    2

    (x

    2

    −2x+4)+5x(x

    2

    −2x+4)+1(x

    2

    −2x+4)

    We expand to get:

    3 {x}^{4} – 6 {x}^{3} + 12 {x}^{2} + 5 {x}^{3} – 10 {x}^{2} + 20x + {x}^{2} – 2x + 43x

    4

    −6x

    3

    +12x

    2

    +5x

    3

    −10x

    2

    +20x+x

    2

    −2x+4

    Regroup similar terms:

    3 {x}^{4} – 6 {x}^{3} + 5 {x}^{3} + 12 {x}^{2} – 10 {x}^{2} + {x}^{2} + 20x – 2x + 43x

    4

    −6x

    3

    +5x

    3

    +12x

    2

    −10x

    2

    +x

    2

    +20x−2x+4

    Combine similar terms:

    3 {x}^{4} – {x}^{3} + 3{x}^{2} + 18x + 43x

    4

    −x

    3

    +3x

    2

    +18x+4

    The correct choice is C.

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