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Solved on Sep 26, 2023

Find the value of the polynomial $P(x)=4x^2-9x+2$ when $x=3$ .

STEP 1

Assumptions1. The function is $(x)=4 x^{}-9 x+$ . We need to find the value of the function when $x=3$

STEP 2

We need to substitute $x=$ into the function $(x)$ .
$()=4()^{2}-9()+2$

STEP 3

First, we calculate the square of3.
$(3)^{2}=9$ So,
$(3)=(9)-9(3)+2$

STEP 4

Next, we multiply4 by9.
$4(9)=36$ So,
$(3)=36-9(3)+2$

STEP 5

Then, we multiply9 by3.
$9(3)=27$ So,
$(3)=36-27+2$

STEP 6

Now, we subtract27 from36.
$36-27=9$ So,
$(3)=9+2$

STEP 7

Finally, we add2 to9.
$9+2=11$ So,
$(3)=11$ The value of the function $(x)=4 x^{2}-9 x+2$ for $x=3$ is11.

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