2.
Find the quadratic polynomial in each case, with th
product of its zeroes respectively.
(i)
- 1
(ii) 72,
I
3
1
(iv) 1,1
(v) -
4 ² 4
(vi)
3.
Find the quadratic polynomial, for the zeroes a, Bg
(i) 2 - 1
(ii) 3.-3
-1
Answers
Answer:
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Step-by-step explanation:
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Answer:
(i) 4/1 , -1
Using the quadratic equation formula,
x2 −(Sum of root)x+(Product of root)=0
Substitute the value in the formula, we get
x2 − 4/1
x−1=0
4x 2 −x−4=0
(ii) 2 , 3/1
Using the quadratic equation formula,
x2 −(Sum of root)x+(Product of root)=0
Substitute the value in the formula, we get
x2 − 2x+ 3/1 =0
Multiply by 3 to remove denominator,
3x 2 −3
2x+1=0
(iii) 0, 5
Using the quadratic equation formula,
x2 −(Sum of root)x+(Product of root)=0
Substitute the value in the formula, we get
x2 −0x+ 5 =0
x2 + 5 =0
(iv) 1, 1
Using the quadratic equation formula,
x2 −(Sum of root)x+(Product of root)=0
Substitute the value in the formula, we get
x2 −1x+1=0
x2 −x+1=0
(v) 4/−1, 1/4
Using the quadratic equation formula,
x2 −(Sum of root)x+(Product of root)=0
Substitute the value in the formula, we get
x2 − 4−1
x+ 4/1=0
Multiply by 4
4x 2 +x+1=0
(vi) 4, 1
Using the quadratic equation formula,
x2 −(Sum of root)x+(Product of root)=0
Substitute the value in the formula, we get
x2 −4x+1=0