Thesmartone15 Thesmartone15
  • 13-09-2021
  • Mathematics
contestada

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

Respuesta :

saraalvi00
saraalvi00 saraalvi00
  • 13-09-2021

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

Answer Link
caylus
caylus caylus
  • 13-09-2021

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

Answer Link

Otras preguntas

In factoring a trinomial with a leading coefficient other than 1, the first step is to look for a ____ factor in each term and factor it out. Fill in the blank
I need to know how to solve a math problem 45.2÷0.2
give me a funny sentence with two words risk and wages
The 19th century ideas of social Darwinism and the white mans burden were often used to justify?
I have 18 ones 15 hundreds 15 tens and 8 thousands. What number am i
when I double my number, add four, and then subtract my number and subtract 3, I get my number plus 1
please use execute in a SHORT AND EASY sentence like even elementary kids can understand execute = to do ; to put in effect ; to carry out BTW ITS VERB
common factors of 20,25,40
Which of these is a chemical property of iron? A. It is dense. B. It has a melting point. C. It is hard to bend. D. It becomes rusted.
Which of the following is NOT soluble in water? A) NaCl B) KBr C) CH3CH2OH D) HCl E) C6H6 and how do i know?