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Rufina [12.5K]
3 years ago
9

How to form a polynomial with given zeros and degree and multiplicity calculator

Mathematics
1 answer:
ohaa [14]3 years ago
3 0

Answer:

Taking P(x) = x³-12x-16 as an example

Step-by-step explanation:

For a polynomial, if

x = a is a zero of the function, then (x − a) is a factor of the function.

We have two unique zeros:

−2 and 4. However, −2 has a multiplicity of 2, which means that the factor that correlates to a zero of −2 is represented in the polynomial twice.

Following how it's constructed

zero at -2, multiplicity 2

zero at 4, multiplicity 1

p(x)=x−(−2))²(x−4)¹

Thus,p(x)=(x+2)²(x−4)

Expand: p(x)=(x²+4x+4)(x−4)

p(x) =x³−12x−16

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Find the volume of the given prism. Round to the nearest tenth if necessary.
alex41 [277]

Answer:

17m³

Step-by-step explanation:

==>Given:

Prism with right triangular base with the following dimensions:

Height = 17m

Base area = area of the right triangle = ½×2×1 = 1m²

==>Required:

Volume of prism

==>Solution:

Volume of prism = Base area × height of prism

Volume of prism = 1m² × 17m

Volume = 17m³

3 0
3 years ago
Determine whether the two triangles are similar and, if they are similar, state a reason.
aleksley [76]

Answer:

Step-by-step explanation:

By triangle sum theorem,

Sum of interior angles of a triangle is 180°.

Therefore, measure of third angle in the larger triangle = 180° - (35° + 120°) = 25°

Similarly, measure of third angle in the smaller triangle = 180° - (25° + 120°)

= 35°

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Both the triangles will be similar by AA property of similarity.

5 0
2 years ago
Help please...I don't get this (40 points and I'll give brainliest)
dexar [7]

A x = 0

using the law of exponents a^{0} = 1

for (6² )^ x = 1 then x = 0

B note that 6^{0} = 1 ⇒ x = 1

2 → 2^8 × 3^(-5) × 1^(-2) × 3^(-8) × 2^(-12) × 2^(28)

= 2^(8 -12 + 28) × 1 × 3^(- 5 - 8)

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6 0
3 years ago
Lowest common multiple of 4 and 10
atroni [7]

Answer: 20


Step-by-step explanation:

2^2=4

5*2=10


2^2 and 5 would be multiplied

8 0
3 years ago
Read 2 more answers
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!
fomenos

Answer:

-8/3

Step-by-step explanation:

find slope

(-1,5) ( 2,-3 )

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7 0
3 years ago
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