Question

check whether polynomial x minus 1 is a factor of polynomial x cube minus 8 x square + 14 x minus 12 verify by division algorithm​

Answer 1

Answer:

no

Step-by-step explanation:

x-1

x=1

x^3-8x^2+14x-12

=1-8+14-12

=-7+14-12

=7-12

=-5 which is not equal to zero hence, it is not a factor.

Answer 2

x-1 is not a factor of polynomial.

Step-by-step explanation:

Consider the provided information.

If x-1 is a factor of polynomial then after dividing $x^3-8x^2+14x-12$ with x-1 remainder will be zero.

$\dfrac{x^3-8x^2+14x-12}{x-1}$

Divide the expression by using these steps:

1) First we will Divide the dividend's lead term by divisor's lead term. This gives the first term of the quotient.

2) Then multiply the divisor by the first term of the quotient.

3) Subtract the dividend from the product then put the next term down and repeat the above steps.

The required division is shown below:

Thus, remainder is -5 therefore x-1 is not the factor.

#Learn more

Using long division.....

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