Question

write the quardic polynomial which sum of zeros is -3 and sum of squares of zeros is 17​

Answer 1

• let zeros of quadratic equation be as a and b.
• ATQ.,
• Therefore, a + b = -3
• And, a*2 + b*2 = 17
• We know that,a*2 + b*2 = (a + b)*2 - 2ab
• (a + b)*2 - 2ab = 17
• (-3)*2 - 2ab = 17
• 9 - 2ab = 17
• -2ab = 17 - 9
• ab = -8/2
• ab = -4
• Therefore,Q.E is x*2 - (a + b)x + ab = 0
• x*2 + 3x - 4 =0