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2 years ago

Zeros :-1,1,3;degree:3

Mathematics

1 answer:

forsale [732]2 years ago

7 0

Answer:

y = x³ - 3x² - x + 3

Step-by-step explanation:

Given the zeros x = - 1, x = 1 and x = 3 then

(x + 1), (x - 1) and (x - 3) are the factors and the polynomial is the product of the factors, hence

y = a(x - 1)(x + 1)(x - 3) ← a is a multiplier

let a = 1 and expand the factors

y = (x² - 1)(x - 3)

= x³ - x - 3x² + 3

= x³ - 3x² - x + 3 ← in standard form

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denpristay [2]

Answer:

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Step-by-step explanation:

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3 years ago

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The sum of a number and its square is 182. Find the number.

Mars2501 [29]

Answer:

13 and -14 satisfy this condition

Step-by-step explanation:

Let's represent that number as x

and the square of x is x^2

So,

x + x^2 = 182

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x + x^2 - 182 = 182 - 182

x + x^2 - 182 = 0

rearrange the quadratic equation

x^2 + x -182 = 0

let's use the quadratic formula

$\frac{-b+\sqrt{b^2-4ac} }{2a}$ or $\frac{-b-\sqrt{b^2-4ac} }{2a}$

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$\frac{-1+\sqrt{1^2-4*1*(-182)} }{2*1}$ or $\frac{-1-\sqrt{1^2-4*1*(-182)} }{2*1}$

$\frac{-1+\sqrt{1+728} }{2}$ or $\frac{-1-\sqrt{1+728} }{2}$

$\frac{-1+\sqrt{729} }{2}$ or $\frac{-1-\sqrt{729} }{2}$

$\frac{-1+{27} }{2}$ or $\frac{-1-{27} }{2}$

$\frac{26}{2}$ or $\frac{-28}{2}$

13 or - 14

Lets check

13 + 13^2 = 13 + 169

= 182

Also,

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= 182

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2 years ago

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Morgarella [4.7K]

Answer:

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Step-by-step explanation:

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erik [133]

Answer:

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Step-by-step explanation:

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2 years ago

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PLEASE HELP!! (and show steps if u can)

Flauer [41]

Answer:

slope: -1

Step-by-step explanation:

Complete y2 - y1 over x2 - x1 with your given points.

-3 - (-1) = -2

_____ ___

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