Find the polynomial having roots at $\frac{3}{5}$ and $4$ .

Answer

The polynomial generated from the given zeros is: $P (x) = 5 x^{2} - 23 x + 12$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$\frac{3}{5}$	$5 x - 3$
$4$	$x - 4$

Step 2: Multiply the factors together:

P (x) = (5 x - 3) \cdot (x - 4) = 5 x^{2} - 23 x + 12

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Find the polynomial having roots at 53​ and 4 .

The polynomial generated from the given zeros is: P(x)=5x2−23x+12

Find the polynomial having roots at $\frac{3}{5}$ and $4$ .

The polynomial generated from the given zeros is: $P (x) = 5 x^{2} - 23 x + 12$