Find the polynomial having roots at $2$ , $- 7$ and $- 4$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} + 9 x^{2} + 6 x - 56$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$2$	$x - 2$
$- 7$	$x + 7$
$- 4$	$x + 4$

Step 2: Multiply the factors together:

P (x) = (x - 2) \cdot (x + 7) \cdot (x + 4) = x^{3} + 9 x^{2} + 6 x - 56

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Find the polynomial having roots at 2 , −7 and −4 .

The polynomial generated from the given zeros is: P(x)=x3+9x2+6x−56

Find the polynomial having roots at $2$ , $- 7$ and $- 4$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} + 9 x^{2} + 6 x - 56$