GCF factoring introduction Got Averi was trying to factor 4x^2 + 20x – 16. She found that the greatest common factor of these te

Question

GCF factoring introduction
Got
Averi was trying to factor 4x^2 + 20x – 16. She found that the greatest common factor of these terms was 4
and made an area model:

What is the width of Averi’s area model?

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Gabriella 4 weeks 2021-09-23T20:09:37+00:00 2 Answers 0

Answers ( )

    0
    2021-09-23T20:10:50+00:00

    Answer:

    16

    Step-by-step explanation:

    0
    2021-09-23T20:10:58+00:00

    Answer:

    \large \boxed{x^{2} + 5x - 4}

    Step-by-step explanation:

    One way to make an area model for this question is:

    • Divide a rectangle into three parts.  
    • Write the common factor on the left-hand side.
    • Write one term of the polynomial in each box.

    The area of each box is

    A = lw. Then,

    w = A/l

    To get the width of each box, we divide its area by its length — the common factor, 4.

    For the green box,  w = 4x²/4 = x²

    For the brown box, w = 20x/4 =       5x

    For the yellow box, w = -16/4  =             – 4  

    For the whole rectangle,     w = x² + 5x – 4  

    \text{The width of their area model is $\large \boxed{\mathbf{x^{2} + 5x - 4}}$}.

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