If x + 3 is a factor of x3+3x2+ax−12, what is the value of a?

Mathematics

2 answers:

Andrei [34K]2 years ago

7 0

Answer: -4

Step-by-step explanation:

The most simple is

P(x)=x³+3x²+ax-12

P(-3)=0=(-3)³+3*(-3)²+a*(-3)-12=-3a-12

-3a-12=0

3a=-12

a=-4

marissa [1.9K]2 years ago

4 0

Answer: -4

Step-by-step explanation:

p(x)=x^3+3x^2+ax-12

x+3 is factors means it divide completely so x=-3

p(-3)=(-3)^3+3(-3)^2+a(-3)-12

-27+27-3a-12=0

-3a-12=0

3a=-12

a=-12/3

a=-4

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asambeis [7]

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Step-by-step explanation:

Number of students 10

Problem 1. $625 for the bus hire per friday, So 625*4=$2500

Problem 2. 2500/25=$100 each for the whole 4 weeks

Problem 3.

10 students tickets 220= 2200 for all tickets. The bus, 625/10 = $62.5*4= $250 dollars for the whole 4 weeks for the bus so in all each student pays $470 each

20 students, tickets 220=4400 for all tickets. The bus, 625/20=$31.25*4=$125 for the whole 4 weeks for the bus, so in all each student must pay $345 each

30 students, tickets 220 = 6600 for all tickets. The bus, 625/30 =$20.83*4=$83.32 for the whole 4 weeks for the bus, so in all each student must pay $303.32 each

41 students, tickets $160=$6560 for all tickets. The bus, because you need 2 buses at 625 each so $1250 for both buses 1250/41= 30.49*4=$121.96 for the whole 4 weeks for the bus. So in al each student must pay $281.96 each

Hope this is correct