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oee [108]
3 years ago
14

Determine if x-6 is a zero and find the quotiant and the remainder​

Mathematics
1 answer:
sergiy2304 [10]3 years ago
3 0

Answer:

○ A. No, x = -6 is not a zero of the polynomial.

The quotient is x - 29, and the remainder is 234.

Step-by-step explanation:

[x - 3][x - 20] >> Factored Form

Obviously, this is not a zero. Now, to get the remainder, we have to plug in the vertical line of <em>x = -6</em> into its conjugate, meaning an expression with opposite signs, which is <em>x + 6</em>. This is the expression we divide the dividend by, so you will have this:

\frac{{x}^{2} - 23x - 60}{x + 6}

Since the divisor is in the form of <em>x - c</em>, using Synthetic Division, we get this:

x - 29 + \frac{234}{x + 6}

You see? You have <em>x - 29</em> in the quotient, and you have 234 as the numerator remainder.

I am joyous to assist you anytime.

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Answer:

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Step-by-step explanation

we can use Greatest common divisor to solve

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2 years ago
A polygon has an interior angle sum of 3060° how many sides must the polygon have?
AVprozaik [17]
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Simplify. (x2+2x-4)+(2x-5x-3)​
vladimir2022 [97]

Answer:

Step by Step Solution

More Icon

STEP

1

:

3

Simplify ——

x2

Equation at the end of step

1

:

3

((((2•(x2))-5x)-——)+2x)-3

x2

STEP

2

:

Equation at the end of step

2

:

3

(((2x2 - 5x) - ——) + 2x) - 3

x2

STEP

3

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Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x2 as the denominator :

2x2 - 5x (2x2 - 5x) • x2

2x2 - 5x = ———————— = ———————————————

1 x2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

2x2 - 5x = x • (2x - 5)

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (2x-5) • x2 - (3) 2x4 - 5x3 - 3

————————————————————— = —————————————

x2 x2

Equation at the end of step

4

:

(2x4 - 5x3 - 3)

(——————————————— + 2x) - 3

x2

STEP

5

:

Rewriting the whole as an Equivalent Fraction :

5.1 Adding a whole to a fraction

Rewrite the whole as a fraction using x2 as the denominator :

2x 2x • x2

2x = —— = ———————

1 x2

Polynomial Roots Calculator :

5.2 Find roots (zeroes) of : F(x) = 2x4 - 5x3 - 3

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

4 0
2 years ago
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Mandarinka [93]

Answer:

a)

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b)

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Step-by-step explanation:

We have to build appropriate null and alternate hypothesis for the given scenarios.

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We would use one-tail(right) test to perform this hypothesis.

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H_{0}: \mu = 2.6\text{ hours}\\H_A: \mu \neq 2.6\text{ hours}

We would use two-tail test to perform this hypothesis.

7 0
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