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The polynomial 6x2 + 37x – 60 represents an integer. Which expressions represent integer factors of 6x2 + 37x – 60 for all values of x? 3x – 4 and 2x + 15 3x + 4 and 2x – 15 2(x – 2) and 3(x + 5) 2(x + 2) and 3(x – 5)

Respuesta :

keishaluvs22
I think the answer is 3x-4 and 2x+15
isyllus

Answer:

[tex]\Rightarrow (2x+15)(3x-4)[/tex]

A is correct.

Step-by-step explanation:

Given: The polynomial

[tex]6x^2+37x-60[/tex]

We need to factor the polynomial using middle term splitting.

[tex]\Rightarrow 6x^2+37x-60[/tex]

[tex]\Rightarrow 6x^2+45x-8x-60[/tex]

Make two group

[tex]\Rightarrow (6x^2+45x)+(-8x-60)[/tex]

Factor each group

[tex]\Rightarrow 3x(2x+15)-4(2x+15)[/tex]

[tex]\Rightarrow (2x+15)(3x-4)[/tex]

Hence, The factors of given polynomial is (2x+15) and (3x-4)

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