Question

if 2 and- 3 are the zeros of the quadratic polynomial x2 +( A + 1)x + B then find the value of a and b

Answer 1

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Answer 2

Answer:

The values of A and B are 0 and -6

Step-by-step explanation:

$\text{Given if 2 and- 3 are the zeros of the quadratic polynomial }x^2 +(A + 1)x + B$

we have to find the value of A and B

$\text{sum of zeroes=}2+(-3)=-1$

$\text{product of zeroes=}2\times (-3)=-6$

The quadratic polynomial is

$x^2-(\text{sum of zeroes})x+(\text{product of zeroes})$

$x^2-(-1)x+(-6)$

$x^2+x-6$

$\text{Compare above polynomial with }x^2 +(A + 1)x + B$

A+1=1 ⇒ A=0

B=-6

Hence, the values of A and B are 0 and -6