4. The quadratic polynomial whose zeroes are and is 3/5 and -1/2 is
a) 10x square -x+3
b) 10x square +x-3
c) 10x square -x-3
d) 10x square +x+3
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Answer:
The quadratic polynomial whose zeroes are 3/5 and -1/2 is (c) 10x square -x -3
Step-by-step explanation:
Let a= 3/5 and b= -1/2 are two zeroes.
Therefore their corresponding quadrating equation is
x² - (a + b)x + ab = 0
⇒ x² - (3/5 - 1/2)x - 3/10 =0
⇒ x² -1/10 x - 3/10 = 0
⇒ 10x² - x - 3 =0
Therefore the required polynomial is 10x² - x - 3
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