Question

if x- 3 is a factor of x³ + ax² + bx + 18 and a + b = - 7 . find a and b.

Answer 1

Answer:

a=-1

b=-6

Step-by-step explanation:  given that a+b=-7     ..........(1)

if x -3 is a factor then x=3

put x=3

(3)³ +a(3)² +b(3)+18=0

9a +3b=-27    ...................(2)

now eq(2) - eq(1)x3

9a+3b=-27

-3a-3b=21

6a      =-6

a=-6/6

a=-1

put value of a in eq(1)-

-1+b=-7

b=-7+1

b=-6  

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