Question

The difference between the values of the polynomial 5x3 –x2 + 7 at x = 2 and x = 1 is

Answer 1

Answer:

The difference between the values of the polynomial 5x3 –x2 + 7 at x = 2 and x = 1 is 32

Step-by-step explanation:

Given,

The polynomial P(x) = 5x³ - x² + 7

To find,

P(2) - P(1)

At first we find

P(2) = 5(2)³ - 2² + 7

P(2) = 40 - 4 + 7

P(2) = 43

And our second job is to find the value of P(1)

P(1) = 5(1)³ - 1² + 7

P(1) = 5 - 1 + 7

P(1) = 11

Now we find P(2) - P(1)

i.e. P(2) - P(1) = 43 - 11 = 32

Therefore, The difference between the values of the polynomial 5x3 –x2 + 7 at x = 2 and x = 1 is 32

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Answer 2

The difference between the values of the polynomial at x = 2 and x = 1 is 32.

Step-by-step explanation:

Given polynomial expression:

5$x^{3}$ - $x^{2}$ +7

To find= the difference between the values of the polynomial at values 2 and 1

Solution:

Putting the value of x as 1 we get:

5($1^{3}$ )- $1^{2}$ +7

5- 1+ 7

= -3

Now, putting the value of x as 2:

5($2^{3}$ )- $2^{2}$ +7

5(8)- 4+ 7

40- 4+7

=40- 11

= 29

Subtracting the value of polynomial with x= 2 with x=1 :

29-(-3)

=29+3

=32

Result:

The difference between the values of the polynomial at x = 2 and x = 1 is 32.

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