Mathematics: how do you factor x^2-2x-8 using algebra tiles

how do you factor x^2-2x-8 using algebra tiles, №12129452, 22.05.2021 19:26

Mathematics

Factor x^2-2x-8=0 to find the solutions to the equation.

Step-by-step answer

P Answered by PhD

2

x=4 x=-2

Step-by-step explanation:

x^2-2x-8=0

What 2 numbers multiply to -8 and add to -2

-4*2 = -8

-4+2 = -2

(x-4) (x+2) =0

Using the zero product property

x-4 =0 x+2 =0

x-4+4=0+4 x+2-2=0-2

x=4 x=-2

Mathematics

Factor x^2-2x-8=0 to find the solutions to the equation.

Step-by-step answer

P Answered by PhD

2

x=4 x=-2

Step-by-step explanation:

x^2-2x-8=0

What 2 numbers multiply to -8 and add to -2

-4*2 = -8

-4+2 = -2

(x-4) (x+2) =0

Using the zero product property

x-4 =0 x+2 =0

x-4+4=0+4 x+2-2=0-2

x=4 x=-2

Mathematics

Apolynomial is factored using algebra tiles which polynomial was factored? a) x^2-2x-8 b) x^2+2x-8 c) x^2-2x-4 d)x^2+2x-4

Step-by-step answer

P Answered by PhD

38

A) x^2-2x-8

Step-by-step explanation:

The polynomial factored is equal to the area of the algebra tiles. This means the quadratic is

$x^2 + x+ x -x -x -x -x-1-1-1-1-1-1-1-1\\x^2-2x-8$

After writing out each tile as a term, combine like terms to simplify. This ia the quadratic.

x^2-2x-8

Mathematics

Astudent performed the following steps to find the solution to the equation x^2-2x-8=0. where did the student go wrong? step 1. factor the polynomial into (x-4) and (x-2) step 2. x-4=0 and x-2=0 step 3. x=4 and x=3 a. the student did not make any mistakes, the solution is correct b. in step 1 c. in step 2 d. in step 3

Step-by-step answer

P Answered by PhD

19

In step 1, because you want to find factors that multiply to -8 and add to -2. So the correct factorization is (x-4)(x+2). The student got the minus sign wrong.

(Then in step 3 the x=3 is also very wrong, but that looks more like a typo).
(Also, it should be x-4=0 OR x+2=0, there is no x for which both factors are 0 at the same time!)

Mathematics

Apolynomial is factored using algebra tiles which polynomial was factored? a) x^2-2x-8 b) x^2+2x-8 c) x^2-2x-4 d)x^2+2x-4

Step-by-step answer

P Answered by PhD

38

A) x^2-2x-8

Step-by-step explanation:

The polynomial factored is equal to the area of the algebra tiles. This means the quadratic is

$x^2 + x+ x -x -x -x -x-1-1-1-1-1-1-1-1\\x^2-2x-8$

After writing out each tile as a term, combine like terms to simplify. This ia the quadratic.

x^2-2x-8

Mathematics

Astudent performed the following steps to find the solution to the equation x^2-2x-8=0. where did the student go wrong? step 1. factor the polynomial into (x-4) and (x-2) step 2. x-4=0 and x-2=0 step 3. x=4 and x=3 a. the student did not make any mistakes, the solution is correct b. in step 1 c. in step 2 d. in step 3

Step-by-step answer

P Answered by PhD

19

In step 1, because you want to find factors that multiply to -8 and add to -2. So the correct factorization is (x-4)(x+2). The student got the minus sign wrong.

(Then in step 3 the x=3 is also very wrong, but that looks more like a typo).
(Also, it should be x-4=0 OR x+2=0, there is no x for which both factors are 0 at the same time!)

Mathematics

Which polynomial can be factored as (x-4) (x+2) x^2+2x+8 x^2-2x+8 x^2-2x-8 x^2-8

Step-by-step answer

P Answered by Master

5

It’s be the fourth answer, x^2-8

You wouldn’t have to worry much about the absent coefficient.

Mathematics

What is the greatest common factor of the numerator and denominator of the rational expression below? 5x-20/x^2-2x-8

Step-by-step answer

P Answered by Master

9

Factories both equations:
5(x - 4) / (x + 2)(x - 4)

Then take out the common brackets:
5 / x + 2

Minus 2 from both sides:
3 / x

If you are looking for the greatest common factor of the numerator and denominator, the answer would be (x - 4)

Mathematics

Which polynomial can be factored as (x-4) (x+2) x^2+2x+8 x^2-2x+8 x^2-2x-8 x^2-8

Step-by-step answer

P Answered by Specialist

5

It’s be the fourth answer, x^2-8

You wouldn’t have to worry much about the absent coefficient.

Mathematics

What is the greatest common factor of the numerator and denominator of the rational expression below? 5x-20/x^2-2x-8

Step-by-step answer

P Answered by Master

9

Factories both equations:
5(x - 4) / (x + 2)(x - 4)

Then take out the common brackets:
5 / x + 2

Minus 2 from both sides:
3 / x

If you are looking for the greatest common factor of the numerator and denominator, the answer would be (x - 4)

how do you factor x^2-2x-8 using algebra tiles

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