Question

If (x-4) is a common factor of the expressions f(x) =x³-6x²+(5-a) x+5a and g(x) =x³-7x²+(10-b) x +5b, find the values of a and b.
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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

a=12;b=0

Step-by-step explanation:

Here, (x-4) is a common factor of the given equations.

-so, x-4=0=> x=4

-put the value of x in this equations and take f(x) =0

-we get,

f(x) =x³-6x²+(5-a)x+5a

=>(4)³-6(4)²+(5-a)(4)+5a=0

=>16-6(8)+20-4a+5a=0

=>16-48+20+a=0

=> -12+a=0

=> a=12

g(x) =x³-7x²+(10-b)x+5b

=>(4)³-7(4)²+(10-b)(4)+5b=0

=>16-7(8)+40-4b+5b=0

=>16-56+40+b=0

=> 0+b=0

=> b=0