Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?
2x – 7
2x + 7
3x – 7
3x + 7

Answers

Answer 1

Answer:

first option

Step-by-step explanation:

i just took the test on edge.

Answer 2

The factor of the polynomial [tex]f(x) = 6x^4 - 21x^3 - 4x^2 + 24x - 35[/tex] is (a) 2x - 7

The polynomial function is given as:

[tex]f(x) = 6x^4 - 21x^3 - 4x^2 + 24x - 35[/tex]

To determine if 2x - 7 is a factor, we start by setting it to 0

[tex]2x - 7 = 0[/tex]

Add 7 to both sides

[tex]2x = 7[/tex]

Divide both sides by 2

[tex]x =3.5[/tex]

Substitute 3.5 for x in f(x)

[tex]f(3.5) = 6(3.5)^4 - 21(3.5)^3 - 4(3.5)^2 + 24(3.5) - 35[/tex]

[tex]f(3.5) =0[/tex]

Because f(3.5) equals 0, then 2x - 7 is a factor of the polynomial

Read more about polynomial factors at:

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