Find the quadratic polynomials zeroes (i)3,-4(ii)2,1

Burhan Hopper

Burhan Hopper

Answered question

2021-09-15

Find the quadratic polynomials zeroes (i)3,-4 (ii)2,1

Answer & Explanation

coffentw

coffentw

Skilled2021-09-16Added 103 answers

1)
Zero’s = 3, -4
Assume that the quadratic polynomials be,
ax2+bx+c=0 where, a0 and its zero be a and b
a=3
b=4
So the quadratic polynomial is,
x2(a+b)x+ab=0
x2(3+(4))x+(3)4=0
x2+x12=0
Hence the quadratic polynomials will be x2+x12=0
Zero’s= 2, 1
Here, a=2, b=1
So the quadratic polynomial is,
x2(a+b)x+ab=0
x2(2+1)x+(2)(1)=0
x23x+2=0
Hence the quadratic polynomials will be x23x+2=0

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