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Factor the quadratic expression completely.

3x^2 - 20x - 7=

+3
Answers (1)
  1. 5 July, 18:47
    0
    The final solution is all the values that make

    (3 x+1) (x-7) = 0 true. x = - 13,7

    Step-by-step explanation:

    Factor - 20 out of - 20 x. 3 x 2-20 x-7=0

    Rewrite - 20 as 1 plus - 213 x 2 + (1-21) x-7=0

    Apply the distributive property. 3 x 2+1 x-21 x-7=0

    Multiply x by 1.3 x 2 + x-21 x-7=0

    Factor out the greatest common factor from each group.

    Group the first two terms and the last two terms.

    (3 x 2 + x) - 21 x-7=0

    Factor out the greatest common factor (GCF) from each group.

    x (3 x+1) - 7 (3 x+1) = 0

    Factor the polynomial by factoring out the greatest common factor,

    3 x + 1. (3 x+1) (x-7) = 0

    If any individual factor on the left side of the equation is equal to

    0, the entire expression will be equal to

    0.3 x+1=0 x-7=0

    Set the first factor equal to

    0 and solve.

    x=-13

    Set the next factor equal to

    0

    and solve.

    Set the next factor equal to

    0. x-7=0

    Add

    7 to both sides of the equation.

    x=7
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