4. If a and ß are the zeroes of the quadratic polynomial f(x) = x² – 3x - 2, then
find a quadratic polynomial whose zeroes are air and 26+a
e Dan aanh of the following find a quadratic polynomial whose sum and product are 1/2a+b and 1/2b+a
Answers
Answer:
x2-3x-2=0
2x2
x2-2x-x-2=0
(x2-2x) (-x-2)=0
x(x-2)-1(x-2)=0
(x-2)(x-1)=0
x-2=0. x-1=0
so, x=2. x=1
so the value of x is 2 and 1
The required quadratic polynomial is 8x²-18x-9
Step-by-step explanation:
If and are the zeroes of quadratic polynomial
then
Also,
We have to find the quadratic polynomial whose zeroes are and
Sum of zeroes
Product of zeroes
We know that quadratic polynomial whose zeroes are and is given by
Therefore, the quadratic polynomial is
or,
or,
Hope this answer is helpful.
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