If C=G-3F, find the trinomial that represents C when F=2x^2+6x-5 and G=3x^2+4.

C = - 3x² - 18x + 21

Step-by-step explanation:

We are given that C = G - 3F ... (1), where we have to find the trinomial expression for C if F = 2x² + 6x - 5 and G = 3x² + 4.

Now, putting the expressions of G and F in the equation (1) we get the expression for C.

So, C = (3x² + 4) - 3 (2x² + 6x - 5)

⇒ C = 3x² + 4 - 6x² - 18x + 15

⇒ C = - 3x² - 18x + 21 (Answer)