Question

a quadratic polynomial,whose zeroes are -3 and 4 is
a.x^2-x+12
b.x^2+x+12
c.x^2-x-12
d.2x^2+2x-24​

Answer 1

ANSWER:

• Quadratic polynomial = x²-x-12.
• Correct option = (C)

GIVEN:

• Zeros are -3 and 4.

TO FIND:

• A quadrtic polynomial whose zeros are -3 and 4.

SOLUTION:

Quadratic polynomial when Zeros are given:

x²-(α+β)x +αβ ...(I)

Finding sum of zeros :

= -3+4

= 1

Finding product of zeros:

= -3(4)

= -12

Putting the values in eq (I)

= x²-x-12

Quadratic polynomial = x²-x-12.

NOTE:

Some important formulas:

=> Sum of zeroes (α+β) = -(Coefficient of x)/Coefficient of x²

=> Product of zeroes (αβ) = Constant term/ Coefficient of x²

Answer 2

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