Mathematics: Find a polynomial f (x) of degree 4 that has the following zeros. 0, -8 (multiplicity 2), 7 Leave your answer in factored form.

Find a polynomial f (x) of degree 4 that has the - id415288235, moneygod46chapo1712

kahmir15

13.02.2022

f(x)=x(x-7)(x+8)^2

Step-by-step explanation:

The zeros of the polynomial are all the values of for which the function f(x)=0

Therefore,

x = 0

$x = -8 \implies x + 8 = 0$ (twice)

$x = 7 \implies x -7 = 0$

Write the polynomial as a product of its factors:

f(x)=x(x-7)(x+8)^2

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legendman27

17.11.2021

$(G(s(z)))'=G'(s(z))\cdot s'(z))$

Step-by-step explanation:

If G is a function of s, and s is a function of z, then the composition function is :

$(G\circ s)(z)=G(s(z))$

This is a function of a function. So we apply the chain rule to different the outer function multiply by the derivative of the inner function.

We take the first derivative to obtain:

$(G(s(z)))'=G'(s(z))\cdot s'(z))$

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