Question

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

Answer 1

Step-by-step explanation:

Method 1

Do the factor like

6x

$6 \times ^{2} + \times - 15 \\ = 6 \times ^{2} - 9 \times + 10 \times - 15 \\ = 3 \times (2 \times - 3) + 5(2 \times - 3) \\ = (2 \times - 3)(3 \times + 5)$

So the other factor is 3x+5

Method 2 We can divise 6x^2+x-15 by 2x-3 and we find the quotient 3x+5

Hope you understand