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Question Find the value of the polynomial P(x)=4x2−9x+2P(x)=4x^2-9x+2 when x=3x=3.

Studdy Solution

STEP 1

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

STEP 2

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

STEP 3

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

STEP 4

Next, we multiply4 by9.
4(9)=364(9)=36So,
(3)=36−9(3)+2(3)=36-9(3)+2

STEP 5

Then, we multiply9 by3.
9(3)=279(3)=27So,
(3)=36−27+2(3)=36-27+2

STEP 6

Now, we subtract27 from36.
36−27=936-27=9So,
(3)=9+2(3)=9+2

STEP 7

Finally, we add2 to9.
9+2=119+2=11So,
(3)=11(3)=11The value of the function (x)=4x2−9x+2(x)=4 x^{2}-9 x+2 for x=3x=3 is11.

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