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Maksim231197 [3]
3 years ago
6

If one of the zeros of the cubic polynomial x3 + ax2 + bx + c is -1, then what will be the product of the other two zeros?

Mathematics
1 answer:
zhenek [66]3 years ago
6 0

Answer:

The product of the other two zeros is c

Step-by-step explanation:

Let α, β and γ be the zeros of the polynomial x³ + ax² + bx + c. Since one of the zeros is -1, therefore let γ = -1. Hence:

sum of the roots = α + β + γ = -a

-1 + β + γ = -a

β + γ = -a + 1

αβ + αγ + βγ = b

-1(β) + (-1)γ + βγ = b

-β -γ + βγ = b

Also, the product of the zeros is equal to -c, hence:

αβγ = -c

-1(βγ) = -c

βγ = c

Hence the product of the other two zeros is c

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Answer:

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Step-by-step explanation:

To create a linear equation in the slope-intercept form, which is in the form of y = mx + b, we need to find the slope/rate of change, m, and the y-intercept, b.

Rate of change can be calculated using two pairs, (3, 2) and (4, 3)

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Where,

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8 0
3 years ago
HELP!!<br> Which table is a probability distribution table?
fomenos

Answer:

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Step-by-step explanation:

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Now, here

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3 years ago
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Slav-nsk [51]

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lina2011 [118]

Answer:

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Step-by-step explanation:

4 0
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