Mathematics: Need answer fast! which of the following describes the roots of the polynomial function f(x)= (x + 2)^2(x - 4)(x + 1)^3? –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 –2 with multiplicity 3, 4 with multiplicity 2, and –1 with multiplicity 4 2 with multiplicity 2, –4 with multiplicity 1, and 1 with multiplicity 3 2 with multiplicity 3, –4 with multiplicity 2, and 1 with multiplicity 4

Step-by-step explanation:In circle with center O, By inscribed angle theorem:...

Need answer fast! which of the following describes

Ответ:

michaellagann2020

11.03.2022

Mathematics

Multiplicity means multiple roots. So (x + a)^n means that the root has multiplicity .

Using the definition of multiplicity of roots, we deduce that we have:

(A) -2 with multiplicity 2, 4 with multiplicity 1, and -1 with multiplicity 3.

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Ответ:

jojokeys

29.11.2021

Mathematics

$(180 - 2x)\degree$

Step-by-step explanation:

In circle with center O, $m\angle BCD = x\degree ... (given) \\$

By inscribed angle theorem:

$m\angle BCD= \frac{1}{2} \times m\widehat {BD} \\\therefore x\degree = \frac{1}{2} \times m\widehat {BD} \\\therefore \widehat {BD} = 2x\degree \\\because m\widehat {BCD}+m\widehat {BD}= 360\degree \\(By\: arc\: sum\: postulate\: of\: a \: circle) \\\therefore m\widehat {BCD}+2x\degree = 360\degree \\\therefore m\widehat {BCD} = 360\degree - 2x\degree \\\\\because m\angle BAD = \frac{1}{2}(m\widehat {BCD} - m\widehat {BD}) \\\\\therefore m\angle BAD = \frac{1}{2}(360\degree - 2x\degree - 2x\degree) \\\\\therefore m\angle BAD = \frac{1}{2}(360\degree - 4x\degree ) \\\\\therefore m\angle BAD = \frac{1}{2}\times 2(180\degree - 2x\degree \\\\ \red {\boxed {\bold {\therefore m\angle BAD =(180- 2x)\degree}}} \\\\$

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