Question

2x^(3)+3x^(2)-50x+24 into linear factors given that -6 is a zero of f(x).

Answer 1

To find the linear factors of the polynomial 2x³ + 3x² - 50x + 24, given that -6 is a zero, we can use synthetic division to divide the polynomial by (x + 6). The quotient will give us the linear factors.

Step-by-step explanation:

To find the linear factors of the polynomial 2x³ + 3x² - 50x + 24, given that -6 is a zero, we can use synthetic division to divide the polynomial by (x + 6). The quotient will give us the linear factors.

Performing synthetic division:

-6 │ 2 3 -50 24
│ -12 54 -24
────────
2 -9 4 0

The resulting quotient is 2x² - 9x + 4. Therefore, the linear factors are (x + 6)(2x² - 9x + 4).