Matematika

Pertanyaan

Faktorisasi Suku Aljabar

2.(-2y-3)²=...
a.4y²+6y+9
b.-4y²+6y+9
c.4y²-6y+9
d.-4y²+6y-9

4.-6p²+16p-8=…
a.(3p+2) (2p-4)
b.(-3p+2) (2p-4)
c(-3p+2) (-2p-4)
d.(-3p+2) (2p+4)

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1 Jawaban

  • Nomor 2
    = (-2y - 3)²
    = (-2y - 3)(-2y - 3)
    = 4y² + 6y + 6y + 9
    = 4y² + 12y + 9

    Opsi gak ada

    Nomor 3
    -6p² + 16p - 8

    a = -6
    b = 16
    c = -8

    X1,2
    = -b ± √(b² - 4ac) / 2a
    = -16 ± √(16² - 4.(-6).(-8) / 2(-6)
    = -16 ± √(256 - 192) / -12
    = (-16 ± √64) / -12
    = (-16 ± 8) / -12

    X1 = (-16 + 8) / -12
    X1 = -8 / -12
    X1 = 2/3

    X2 = (-16 - 8) / -12
    X2 = -24 / -12
    X2 = 2

    maka
    -6p² + 16p - 8 → (3p - 2)(2p - 4)
    ....................... → (-3p + 2)(-2p + 4)

    Opsi D

    semoga berguna +_+

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