Question

if 2 is a zero of both polynomial 3x^2+ax-14 and 2x^3+bx^2+x-2 then find the value of 2a+3b plz ans as soon as possoble

Answer 1

x=2

3x²+ax-14

putting value of x that is 2 we get the value of a because being zero it give 0 after solving.

3×(2)²+a×2-14=0

3×4+2a-14=0

12-14=-2a

-2=-2a

1=a

now putting value of x in second equation,

2x³+bx²+x-2=0

2×(2)³+b×(2)²+2-2=0

2×8+4b=0

16+4b=0

4b=-16

b=-4

putting value of a & b in third equation,

2a+3b

=2×1+3×(-4)

=2-12

=-10

Answer 2

X=2

3x²+ax-14

putting value of x that is 2 we get the value of a because being zero it give 0 after solving.

3×(2)²+a×2-14=0

3×4+2a-14=0

12-14=-2a

-2=-2a

1=a

now putting value of x in second equation,

2x³+bx²+x-2=0

2×(2)³+b×(2)²+2-2=0

2×8+4b=0

16+4b=0

4b=-16

b=-4

putting value of a & b in third equation,

2a+3b

=2×1+3×(-4)

=2-12

=-10