find the zeros of the polynomial 2x square - 7 x + 3 and hence find the sum of products of its zeros
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Answered by
81
(x) = 2x2-7x+3 = ax2 + bx + c
= 2x2-6x - x + 3
=2x(x - 3) -1(x - 3)
=(2x - 1) (x - 3)
=x = 1/2 , x = 3
let α and β be the zeroes of p(x)
α= 1/2 , β=3
α+β= (1/2)+3
= (1 + 6)/2
= 7/2 ...(1)
αβ = (1/2) . 3
= 3/2 ...(2)
Verification of zeroes......
α+β= -b/2 =-(7)/2 = -7/2 ...(3)
αβ = c/a = 3/2 ...(4)
eq (1) = eq (3) and eq(2) = eq(4)
HENCE VERIFIED
MARK AS BRAINLIEST
Cutie Pie
= 2x2-6x - x + 3
=2x(x - 3) -1(x - 3)
=(2x - 1) (x - 3)
=x = 1/2 , x = 3
let α and β be the zeroes of p(x)
α= 1/2 , β=3
α+β= (1/2)+3
= (1 + 6)/2
= 7/2 ...(1)
αβ = (1/2) . 3
= 3/2 ...(2)
Verification of zeroes......
α+β= -b/2 =-(7)/2 = -7/2 ...(3)
αβ = c/a = 3/2 ...(4)
eq (1) = eq (3) and eq(2) = eq(4)
HENCE VERIFIED
MARK AS BRAINLIEST
Cutie Pie
Harshil80:
thaks
i mean thanks
welcome
can you mark me BRAINLIEST
how
coz i am new to this app
after a 2 people finish answering you can mark 1 as the best answer
in that you will get 3 points and the person who you marked as BRAINLIEST will also get 3 points
ok
Answered by
89
= 2xsquare -7x+3
= 2xsquare -( 6+1)x+3
= 2xsquare -6x-x+3
= 2x(x-3) -1(x-3)
= (2x-1) (x-3)
2x-1=0. x-3=0
2x=1. x=3
x=1/2
VERIFICATION:-
Sum of zeros= -b/a
1/2+3= -(-7/2)
1+6/2=7/2
7/2=7/2
Product of zeros= c/a
1/2×3=3/2
3/2=3/2
HENCE VERIFIED.....
HOPE it helps!!!!!!✌️✌️✌️
= 2xsquare -( 6+1)x+3
= 2xsquare -6x-x+3
= 2x(x-3) -1(x-3)
= (2x-1) (x-3)
2x-1=0. x-3=0
2x=1. x=3
x=1/2
VERIFICATION:-
Sum of zeros= -b/a
1/2+3= -(-7/2)
1+6/2=7/2
7/2=7/2
Product of zeros= c/a
1/2×3=3/2
3/2=3/2
HENCE VERIFIED.....
HOPE it helps!!!!!!✌️✌️✌️
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