Question

If.8+6x - 5x is factorized, then its factors are​

Answer 1

Answer:

A quadratic equation

a

x

2

+

b

x

+

c

can be factored once you know its roots

x

1

,

x

2

. So, there are three alternatives:

No (real) roots exist. In this case, the polynomial cannot be factorized any further

x

1

=

x

2

=

ˆ

x

. In this case, the polynomial is the squared binomial

a

(

x

−

ˆ

x

)

2

x

1

≠

x

2

. In this case, the polynomial can be factored as

a

(

x

−

x

1

)

(

x

−

x

2

)

Let's look for the solutions of your equation:

x

1

,

2

=

−

6

±

√

36

+

160

10

=

−

6

±

√

196

10

=

−

6

±

14

10

So,

x

1

=

−

6

+

14

10

=

8

10

=

4

5

x

2

=

−

6

−

14

10

=

−

20

10

=

−

2

Step-by-step explanation:

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