Answer: The value of the coefficients a, b, and c will be 2, 2, and negative 24. And the sign will be (<)
Explanation:
The value of the coefficients a, b, and c will be 2, 2, and negative 24.
And the sign will be (<).
How to get polynomials with zeroes?
Let a, b, c, and d are the zeroes of the polynomial.
Then the polynomial is given as,⇒ (x - a)(x - b)(x - c)(x - d)
The degree of the polynomial will be greater than or equal to the number of zeroes. From the graph, the zeroes are -4 and 3. Then the factor of will be (x + 4) and (x - 3). Then the polynomial 'y' is given as,y = a(x - 3)(x + 4)At (1, -20), we have- 20 = a(1 - 3)(1 + 4)- 20 = a (-2)(5)a = 2Then the inequality is given as,y < 2(x - 3)(x + 4)y < 2(x² + x - 12)y < 2x² + 2x - 24.
The value of the coefficients a, b, and c will be 2, 2, and negative 24. And the sign will be (<).