Is (x-3) factor of (3x3+10x2-x-12)?

From evaluation at x = 3; we may conclude that (x-3) is not a factor of (3x3+10x2-x-12).

If the polynomial (x -3) is a factor of (3x3+10x2-x-12);

Therefore; when x = 3; we have;

3(3)³ + 10(3)² - 3 -12

= 81 + 90 -3 -12

= 156

Since 156 is not equal to 0;

Consequently, (x-3) is not a factor of (3x3+10x2-x-12).

Read more on Polynomial factors:

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Step-by-step explanation:

x-3=0

x=3

find f(3)

or 3(3)³+10(3)²-3-12=81+90-3-12=171-15=156≠0

so x-3 is not a factor.

or

divide the given expression by x-3

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

hiking down a winding trail.

step-by-step explanation: