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Sindrei [870]
2 years ago
12

Factor completely 6x2 − 11x − 10. (6x 2)(x − 5) (6x − 2)(x 5) (3x 2)(2x − 5) (3x − 2)(2x 5).

Mathematics
1 answer:
madreJ [45]2 years ago
6 0

Factors of the given expression are (2x-5) ,(3x+2)

The given expression is:

6x^2-11x-10

<h3>What is a factor?</h3>

A factor is a number that divides another number leaving no remainder.

we can split the middle term as,

6x^2-15x +4x-10\\

3x(2x-5)+2(2x-5)\\\\(2x-5) (3x+2)

Therefore factors of the given expression are (2x-5) ,(3x+2)

To get more about factors visit:

brainly.com/question/9781037

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Answer:

Part 1) "a" value is 2

Part 2) The vertex is the point (1,8)

Part 3) The equation of the axis of symmetry is x=1

Part 4) The vertex is a minimum

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Step-by-step explanation:

we know that

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if a < 0 then the parabola open downward (vertex is a maximum)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

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In this problem we have

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The value of a=2

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The vertex is the point (1,8)

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(h,k)=(1,8)

The equation of the axis of symmetry is x=1

The equation of a vertical parabola in standard form is equal to

y=ax^{2}+bx+c

Convert vertex form in standard form

y=2(x-1)^{2}+8

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see the attached figure to better understand the problem

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