Question

Frame the polinomial whiose sum product of zeros are -3and2​

Answer 1

Answer:

P(x) =x² + 3x + 2  

Step-by-step explanation:

You have two zeros, so the polynomial is a quadratic.

The general form of a quadratic is

P(x) = ax² + bx + c

     Sum of zeros = -b

Product of zeros =   c

The polynomial becomes

P(x) = x² - (sum of zeros)x + (product of zeros)

Sum of zeros = -3 and product of zeros = 2, so

P(x) = x² + 3x + 2

The graph of P(x) (below) shows that the zeros are at -2 and -1

     Sum of zeros = -2 + (-1) = -3

Product of zeros = -2 × (-1) =   2