P(x)=2x ³+ x ²-7x-6

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

7 0

Answer:

x = -1.5, -1, 2.

Step-by-step explanation:

I am assuming you want to solve this>

Solve 2x ³ + x ² -7x - 6 = 0

It looks like x = -1 is a solution so we try it:

2*(-1)^3 + (-1)^2 -7(-1) - 6

= -2 + 1 + 7 - 6

= -1 + 1 = 0

So x = -1 is one root.

So (x + 1) must be a factor of P(x)

Now we divide by x + 1:

x + 1)2x ³ + x ² -7x - 6( 2x^2 - x - 6 <--- quotient

2x^3 + 2x^2

-x^2 - 7x

-x^2 - x

-6x - 6

----------

2x^2 - x - 6 = 0

(2x + 3)(x - 2) = 0

x = -1.5, 2.

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