Question

if polynomial x^3-ax^2-13x+b has x-1 and x+3 a factors find the value of A and B​

Answer 1

Answer:

a=3,b=15

Step-by-step explanation:

if x=1

1³-1²(a)-13(1)+b=0

1-a-13+b=0

b-a=12

if x=-3

-3³-a(-3)²-13(-3)+b=0

-27-9a+39+b=0

b-9a+12=0

b-9a=-12

b=a+12..........eq.1

b=9a-12............eq.2

a+12=9a-12

a=24/8=3

a=3

b=a+12

b=3+12

b=15

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