Question

If f(x) = 2x3 - 13x2 + 17x + 12 , find
(i) f(2)
(ii) f(-3)

Answer 1

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Answer 2

Given:

The given expression

$f(x) = 2 {x}^{3} - 13 {x}^{2} + 17x + 12$

To find:

We have to find the value of the expression for

(i) f(2)

(ii) f(-3).

Solution:

The given expression is

$f(x) = 2 {x}^{3} - 13 {x}^{2} + 17x + 12$

For f(2) we have to put the value of x as 2.

Thus, the value of the above expression is-

$f(x) = 2 \times {2}^{3} - 13 \times {2}^{2} + 17 \times 2+ 12 \\ = 8 \times 2 - 13 \times 4 + 34 + 12 \\ = 16 - 52 + 34 + 12 \\ = 62 - 52 \\ = 10$

For f(-3) the value of the expression is-

$f(x) = 2 \times { - 3}^{3} - 13 \times { - 3}^{2} + 17 \times ( - 3) + 12 \\ = 2 \times ( - 27) - 13 \times 9 - 51 + 12 \\ = - 54 - 117 - 51 + 12 \\ = - 210$

The value of f(2) is 10 and the value of f(-3) is -210.