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3 years ago

X²-x-6 What is hcf of the polynomial

Mathematics

1 answer:

Eva8 [605]3 years ago

3 0

Answer:

the highest common factor of the polynomial is (x + 2) (x - 3)

Step-by-step explanation:

The computation of the highest common factor of the polynomial is as follows:

According to the question, the following equation is given

' $x^2 - x - 6$

Now do the factorization

$x^2 -3x + 2x - 6$

x(x - 3) +2 (x - 3)

(x + 2) (x - 3)

hence, the highest common factor of the polynomial is (x + 2) (x - 3)

The same is to be considered

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Write the first five terms of the sequence in which the nth term is a_n=(n+1)!/n+1.

VikaD [51]

Answer:a) 1,2,6,24,120

Step-by-step explanation:

The formula for the nth term of the sequence is expressed as

n=(n+1)!/n+1

For the first term, n = 1. Therefore,

(1+1)!/(1+1) = 2!/2 = (2×1)/2 = 1

For the second tern, n = 2. Therefore,

(2+1)!/2+1 = 3! /3 = (3×2×1)/3 = 6/3 = 2

For the third term, n = 3, therefore

(3+1)!/3+1 = 4!/4 =(4×3×2×1)/4 = 6

For the fourth term, n = 4. Therefore

(4+1)!/4+1 = 5!/5 = (5×4×3×2×1)/5 = 24

For the fifth term, n = 5. Therefore

(5+1)!/5+1 = 6!/6 = 6× 5×4×3×2×1)/6 = 120

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3 years ago

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Explain why 1/6 is greater than 1/8 but less than 1/3

valentina_108 [34]

You can read fractions as one number divided by another. So 1/6 is equivalent to 1 divided by 6. It is then selfevident that the larger the denominator the smaller the number. If you have one cake and divide it between 3, 6 or eight people, three people will get a larger slice than 6 people sharing the same cake. And 6 people will get a larger slice than 8 people dividing the same cake.

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4 years ago

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umka2103 [35]

Answer:

Step-by-step explanation:

1/4--1/2=0.75

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3 years ago

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Triangle - Find Value of X

ira [324]

Answer:

This is an isosceles triangle. You should know that in an isosceles triangle, 2 sides are the same if the opposite side lengths are the same. So 4x-2=62. Then add 2 to both sides to get 4x=64, and finally divide by 4 to get the answer of 16. x=16

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4 years ago

Which is the equation of a parabola with focus (-5, 3) and vertex (-5, 6)?

Ulleksa [173]

Answer:

Which is the equation of a parabola with focus (-5, 3) and vertex (-5, 6)?

Focus and Vertex are both on x = –5, so that’s the Axis of Symmetry.

Distance from Vertex to Focus is p = 3-6 = –3.

4p(y-k) = (x-h)^2

4(–3)(y–6) = (x-(-5))^2

–12(y–6) = (x+5)^2

y = (–1/12)(x+5)^2 + 6 <== Answer

Distance from Vertex to Directrix is –p = 3.

Directrix is y = 6+3 = 9.

Step-by-step explanation:

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