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pickupchik [31]
3 years ago
5

Which of the binomials below is a factor of this trinomial?

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
6 0

Kon'nichiwa!

To Acquire=>the binomials below is a factor of

x {}^{2}  - 5x - 14

Step-by-step explanation:

<em><u>By Middle splitting </u></em><em><u>method</u></em>

<em><u>=</u></em><em><u>></u></em>

<em><u>x {}^{2}  - 5x - 14 \\  = x {}^{2}  + 2x - 7x - 14 \\  = x(x + 2) - 7(x + 2) \\  = (x - 7)(x + 2)</u></em>

<em><u>Hence,</u></em><em><u> </u></em><em><u>(</u></em><em><u>x-7)</u></em><em><u> </u></em><em><u>Is </u></em><em><u>the</u></em><em><u> </u></em><em><u>required</u></em><em><u> answer</u></em>

<em><u>Hope </u></em><em><u>it </u></em><em><u>Helps</u></em>

<em><u>Have</u></em><em><u> a</u></em><em><u> good</u></em><em><u> day</u></em><em><u> Ahead</u></em>

Nitella [24]3 years ago
5 0

Answer:

Let's find it Out

<em><u>To </u></em><em><u>Acquire</u></em><em><u>=</u></em><em><u>></u></em><em><u>A </u></em><em><u>Binomial</u></em><em><u> </u></em><em><u>out </u></em><em><u>of </u></em><em><u>the </u></em><em><u>given </u></em><em><u>options </u></em><em><u>which</u></em><em><u> </u></em><em><u>is </u></em><em><u>a </u></em><em><u>factor</u></em><em><u> </u></em><em><u>of </u></em><em><u>trinomial</u></em>

<em><u>Solution</u></em><em><u> </u></em><em><u>=</u></em><em><u>></u></em><em><u> </u></em>

<em><u>x {}^{2}  - 5x - 14 \\  = x {}^{2}  + 7x - 2x  -  14 \\  = x(x + 7)  - 2(x + 7) \\  = (x  - 2)(x + 7)</u></em>

<h2><em><u>Hence </u></em><em><u>,</u></em><em><u> </u></em><em><u>(</u></em><em><u>x-2)</u></em><em><u> </u></em><em><u>is </u></em><em><u>the</u></em><em><u> </u></em><em><u>correct</u></em><em><u> answer</u></em></h2>

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