Question

if x-2 is a factor of x3+9x2+bx-18 and a-b=7 find a and b​

Answer 1

Answer:

b = -13

a = -6

Step-by-step explanation:

x-2 is a factor of p(x)

so, x-2 = 0

x = 2

p(x) = x³+9x²+bx-18 = 0

p(2) = 2³+9(2)²+2b-18=0

=> 8+36+2b-18 = 0

=> 26+2b=0

=> b= -13

as, a-b = 7

so, a-(-13) = u

=>a+13=7

=>a= -6

HOPE IT WOULD HELP YOU

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