Find the polynomial having roots at $\frac{4}{9}$ and $3$ .

Answer

The polynomial generated from the given zeros is: $P (x) = 9 x^{2} - 31 x + 12$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$\frac{4}{9}$	$9 x - 4$
$3$	$x - 3$

Step 2: Multiply the factors together:

P (x) = (9 x - 4) \cdot (x - 3) = 9 x^{2} - 31 x + 12

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Find the polynomial having roots at 94​ and 3 .

The polynomial generated from the given zeros is: P(x)=9x2−31x+12

Find the polynomial having roots at $\frac{4}{9}$ and $3$ .

The polynomial generated from the given zeros is: $P (x) = 9 x^{2} - 31 x + 12$