baalveer1772 baalveer1772
  • 03-01-2024
  • Mathematics
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Factor the expression v² - v - 20 into TWO binomials.

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MisterBrian
MisterBrian MisterBrian
  • 03-01-2024

Answer:

(v+4)(v-5)

Step-by-step explanation:

Given expression:

  • v² - v - 20

We have to factor into two binomials.

Solution:

Binomials are any polynomials with 2 terms.

We can simply factor it using middle term factor theorem:

  • v² -v -20

As -5*+4 = 20 and v has a negative sign,so:

  • v² - (5-4)v - 20
  • v² - 5v+4v -20
  • v(v-5) + 4(v-5) [Factor out the common terms]
  • (v+4)(v-5)[Factor out (v-5)]

There you go! We have expressed it into two binomials.

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