A quadratic polynomial whose zeroes are 2 and -3/ 2 is
Answers
Answered by
0
Answer:
when the sum and product of its zeroes are given by:
f(x)=k[x2−(sumofthezeroes)x+Productofthezeroes], where k is any non-zero constant.
∴ Required quadratic polynomial f(x) is given
by
f(x)=k[x2−(2)x−8], where k is any non-zero real constant
=k[x2−2x−8], where k is any non-zero real constant
=k[x2+(−4x+2x)−8], where k is any non-zero real constant
=k[(x2−4x)+(2x−8)], where k is any non-zero real constant
=k[x(x−4)+2(x−4)], where k is any non-zero real constant
=k[(x−4)(x+2)], where k is any non-zero real constant
The zeroes of f(x) are given by
f(x)=0
⇒(x−4)(x+2)=0
⇒x−4=0orx+2=0
⇒x=4orx=−2
Hence, the zeroes of f(x) are 4and−2.
Similar questions
English,
4 months ago
Math,
4 months ago
Chemistry,
4 months ago
Science,
8 months ago
Business Studies,
1 year ago