Question

if x-1 and x+3 are factors of x^3-ax^2-13x+b find the values of a and b ​

Answer 1

Answer:

hey frnd here is your answer

Step-by-step explanation:

• (x-1) and (x+1) are factors of x³-ax²-13x+b means it should satisfy the equation

So just put x= 1 and x= -3 in the equation.

1. Putting x=1 in x³-ax²-13x+b

• (1)³-a(1)²-13(1)+b=0
• 1-a-13+b=0
• a-b=12.

2. Putting x= -3 in x³-ax²-13x+b

• (-3)³-a(-3)-13(-3)+b=0
• -27+3a+39+b=0
• 3a+b+12=0.

by solving 3a+b+12=0 and a-b=12

b= -12 a=0.

so your final answer is-

a=0 and b= -12.

I hope you get the right answer

thnx for asking

plzz mark as brainlist...