If 4x is one factor of 4x^2-12x, what is the other factor?

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10-05-2017
Mathematics

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If 4x is one factor of 4x^2-12x, what is the other factor?

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trampoline trampoline · Answer 1 · 2017-05-10T01:57:33+02:00

trampoline trampoline

10-05-2017

If you factor 4x²-12x, you can divide 4x from each term.

4x² ÷ 4x = x
-12x ÷ 4x = -3

Therefore, the other term becomes (x-3) because 4x(x-3) = 4x²-12x

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PratikshaS PratikshaS · Answer 2 · 2022-06-16T12:10:53+02:00

The other factor of [tex]4x^2-12x[/tex] is (x - 3)

What is a binomial?

"It is a polynomial with two terms."

What is a quadratic binomial?

"It is a binomial having power two."

For given question,

We have been given a quadratic binomial [tex]4x^2-12x[/tex]

The one factor is 4x.

Let the second factor is 'm'

[tex]\Rightarrow m\times 4x = 4x^2-12x\\\\\Rightarrow m\times 4x = 4x(x-3)\\\\\Rightarrow m = x - 3[/tex]

This means, the second factor is x - 3

Therefore, the other factor of [tex]4x^2-12x[/tex] is x - 3

Learn more about quadratic binomial here:

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