The difference of two trinomials is x2 – 10x + 2. If one of the trinomials is 3x? – 11x – 4, then which expression could be the othe t

Question

The difference of two trinomials is x2 – 10x + 2. If one of the trinomials is 3x? – 11x – 4, then which expression could be the othe
trinomial?
0 27-x-2
2×2 + x + 6
4×2 + 21x + 6
0
4×2
21x-2

in progress 0
Kaylee 3 weeks 2021-09-26T03:54:31+00:00 1 Answer 0

Answers ( )

    0
    2021-09-26T03:56:22+00:00

    Answer:

    2x^2-x-6

    or

    4x^2-21x-2

    Step-by-step explanation:

    The difference of two trinomials P(x) and Q(x) is x^2 - 10x + 2. This means that

    P(x)-Q(x)=x^2-10x+2

    or

    Q(x)-P(x)=x^2-10x+2

    If one of the trinomials is P(x)=3x^2-11x - 4, then

    (3x^2-11x-4)-Q(x)=x^2-10x+2

    or

    Q(x)-(3x^2-11x-4)=x^2-10x+2

    1. If (3x^2-11x-4)-Q(x)=x^2-10x+2, then

    Q(x)=(3x^2-11x-4)-(x^2-10x+2)\\ \\Q(x)=(3x^2-x^2)+(-11x+10x)+(-4-2)\\ \\Q(x)=2x^2-x-6

    2. If Q(x)-(3x^2-11x-4)=x^2-10x+2, then

    Q(x)=(x^2-10x+2)+(3x^2-11x-4)\\ \\Q(x)=(x^2+3x^2)+(-10x-11x)+(2-4)\\ \\Q(x)=4x^2-21x-2

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45:7+7-4:2-5:5*4+35:2 =? ( )