The polynomial 6x² + x - 15 has a factor of 2x - 3. What is the other factor?
3x - 5, 3x + 5, 4x - 5, 4x + 5

Solution:

Given:

Polynomial is 6x² + x - 15

Factoring a quadratic equation provides the roots.

There are basically 4 methods which can be used here -

Splitting the middle term

Factoring the GCD

By using the algebraic identities

By using the quadratic formula

Here we use the splitting up of the middle term

= 6x² - 9x + 10x - 15

Taking out the common terms

= 3x(2x - 3) + 5(2x - 3)

So we get,

= (3x - 5)(2x - 3)

Therefore, the other factor is 3x - 5.

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The polynomial 6x² + x - 15 has a factor of 2x - 3. What is the other factor?

Summary:

The polynomial 6x² + x - 15 has a factor of 2x - 3. The other factor is 3x - 5.