Polynomial: 2×3 – x2 – 3x + 5; Divisor: x + 3

Question

Polynomial: 2×3 – x2 – 3x + 5; Divisor: x + 3

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Latifah 7 months 2021-07-25T03:51:31+00:00 2 Answers 7 views 0

Answers ( )

    0
    2021-07-25T03:52:58+00:00

    Answer:

    2x² + 5x – 18 Remainder 59

    Step-by-step explanation:

    2x³ – x² – 3x + 5 ÷ x + 3

                       2x² + 5x – 18

    x + 3 √ 2x³ – x² – 3x + 5

            – 2x³ – 6x²

                0  +  5x² – 3x + 5

                      – 5x² + 15x

                        0 – 18x + 5

                        – –18x –54

                                 0 + 59

    2x³ – x² – 3x + 5 ÷ x + 3 = 2x² + 5x – 18 Remainder 59

    0
    2021-07-25T03:53:22+00:00

    Answer:

    x= 5/2= 2.500

    x= -1 – Divisor: -3/2 = -1-(i)Divisor:3/2= 0.5000-0.8660(i)

    x= -1+Divisor: -3/2= -1+(i)Divisor:3/2=-0.5000+0.8660(i)

    Step-by-step explanation:

    STEP

    1

    :

    Equation at the end of step 1

     (((2 • (x3)) –  3×2) –  3x) –  5  = 0  

    STEP  

    2

    :

    Equation at the end of step

    2

    :

     ((2×3 –  3×2) –  3x) –  5  = 0  

    STEP

    3

    :

    Checking for a perfect cube

    3.1    2×3-3×2-3x-5  is not a perfect cube

    Trying to factor by pulling out : 3.2      Factoring:  2×3-3×2-3x-5  

    Thoughtfully split the expression at hand into groups, each group having two terms :

    Group 1:  -3x-5  

    Group 2:  -3×2+2×3  

    Pull out from each group separately :

    Group 1:   (3x+5) • (-1)

    Group 2:   (2x-3) • (x2)

    Bad news !! Factoring by pulling out fails :

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