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which of the binomials below is a factor of this trinomial? x^2+14x+40A. x-9B. x+10C. x+14D. x^2 + 40

Which Of The Binomials Below Is A Factor Of This Trinomial X214x40A X9B X10C X14D X2 40 class=

Sagot :

Given the following trinomial expression:

[tex]x^2+14x+40[/tex]

To factor the trinomial, we need two numbers:

The product of them = 40

The sum of them = 14

The factors of 40 will be as follows:

40 = 1 x 40 ⇒ sum = 41

40 = 2 x 20 ⇒ sum = 22

40 = 4 x 10 ⇒ sum = 14

40 = 5 x 8 ⇒ sum = 13

so, the numbers will be 4 and 10

The factoring of the expression will be as follows:

[tex]x^2+14x+40=(x+4)(x+10)[/tex]

So, the answer will be B. x+10

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