Question

11. If 2x - 1 is a factor of 6x² + ax - 4 and bx² - 11x + 3 then a & b are respectively​

Answer 1

Answer:

a=-5

b=10

Step-by-step explanation:

1st case

2x-1=0

x=1/2

p(x)=6x²+ax-4=0

p(1/2)=6(1/2)²+a(1/2)-4=0

=3/2+1/2a-4=0

3-8/2+1/2=0

5/2+1/2a=0

=1/2a=-5/2

a=-5/2×2

a=-5

2nd case

2x-1=0

x=1/2

p(x)=bx²-11x+3=0

p(1/2)=b(1/2)²-11(1/2)+3=0

=1/4b-11/2+3=0

1/4b-11+6/2=0

1/4b-5/2=0

1/4b=5/2

b=5/2×4

b=10

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