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Answered

give the factored form of the following polynomial fuction F(x)=x2+5x6=​

Sagot :

LeviTheMathMajorgo

Answer:

(x + 2) and (x + 3)

Step-by-step explanation:

  • Factoring:

f(x) = x² + 5x + 6

  • Since x is the only variable we dont need to do much work.

  • Find the factors of the last term that sums up to the coefficient of the middle term.

Last Term: 6

Factors of 6: (1 and 6), (2 and 3)

  • Find the pair tht sums up to the middle coefficient.

Middle Coefficient: 5

Factors of 6 that sums to 5: (2 and 3)

  • Hence the Factors are:

(x + 2) and (x + 3)

  • Checking:

Use Foil Method:

(x + 2)(x + 3)

F = x • x = x²

O = x • 3 = 3x

I = 2 • x = 2x

L = 2 • 3 = 6

x² + 3x + 2x + 6

  • Combine Like Terms

x² + 3x + 2x + 6

x² + 5x + 6

Therefore, the factors are (x + 2) and (x + 3)

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