Find the polynomial having roots at $\frac{4}{5}$ and $2$ .

Answer

The polynomial generated from the given zeros is: $P (x) = 5 x^{2} - 14 x + 8$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$\frac{4}{5}$	$5 x - 4$
$2$	$x - 2$

Step 2: Multiply the factors together:

P (x) = (5 x - 4) \cdot (x - 2) = 5 x^{2} - 14 x + 8

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Find the polynomial having roots at 54​ and 2 .

The polynomial generated from the given zeros is: P(x)=5x2−14x+8

Find the polynomial having roots at $\frac{4}{5}$ and $2$ .

The polynomial generated from the given zeros is: $P (x) = 5 x^{2} - 14 x + 8$