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Which of the following expressions are factors of p(x)=60x4+24x3−45x2−18x?

There may be more than one correct answer. Select all correct answers.

3x2
5x+2
3x
9x−3
4x2+3
4x2−3

Respuesta :

absor201

The factors are 3x, 4x^2-3 and 5x+2

So, Option B, C and F are correct.

Step-by-step explanation:

We need to find factors of the expression [tex]p(x)=60x^4+24x^3-45x^2-18x[/tex]

Solving the expression: [tex]p(x)=60x^4+24x^3-45x^2-18x[/tex]

Taking 3x common:

[tex]p(x)=3x(20x^3+8x^2-15x-6)[/tex]

Now, factor by grouping, the terms inside the bracket.

[tex]p(x)=3x((20x^3+8x^2)+(-15x-6))[/tex]

[tex]p(x)=3x(4x^2(5x+2)-3(5x+2))[/tex]

[tex]p(x)=3x(4x^2-3)(5x+2)[/tex]

So, the factors are 3x, 4x^2-3 and 5x+2

So, Option B, C and F are correct.

Keywords: Finding Factors

Learn more about finding factors at:

  • brainly.com/question/1414350
  • brainly.com/question/1464739
  • brainly.com/question/2568692

#learnwithBrainly

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