write the quadratic polynomial whose zero and products of zeros are a)-3&-4 b)-1/4&3/2
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a. Sum of zeroes = a + b = -3
and, product of zeroes = ab = -4
A quadratic equation is of the form
p(x) = kx²-(a+b)x+ab (where, k is a constant)
= x² -(-3)x+(-4)
= x²+3x-4
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b.
a. Sum of zeroes = a + b = -1/4
and, product of zeroes = ab = 3/2
A quadratic equation is of the form
p(x) = kx²-(a+b)x+ab (where, k is a constant)
= x² -(-1/4)x+(3/2)
= x²+1/4x+3/2
Multiplying both sides by 4, we obtain
4 (0) = 4(x²+1/4x+3/2)
= 4x²+x+6
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