NyalaU115887 NyalaU115887
  • 29-10-2022
  • Mathematics
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Which of the binomials below is a factor of this trinomial?x2 + 5x + 6A. X+6B. X-6C. x2 + 6O D. x+ 2

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NaudiaZ661539 NaudiaZ661539
  • 29-10-2022

x^2+5x+6

Is in the form:

ax^2+bx+c

So:

a=1

b=5

c=6

First, find the product of a and c

a x c = 1 x 6 = 6

List products that equal (a.c)

6 x 1 = 6

2x3 = 6

find the expression that when added is equal to b (5)

2+3 =5

Rewrite the trinomial with the new numbers in the middle term:

x^2+2x+3x+6

Isolate similar terms and factor out the greatest common factor

(x^2+3x) + (2x+6)

x (x+3) + 2 (x+3)

Factor out (x+3) and rewrite

(x+2) (x+3)

Answer D (x+2)

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