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If both 2 and 3 are zeroes of $p (x) = x^{2} + b x + c$ , find the value of $b + c$ .

Class 9Zeroes of a PolynomialPolynomials

A3
B2
C0
D1

Step-by-Step Solution

With zeroes 2 and 3,

p (x) = (x - 2) (x - 3) = x^{2} - 5 x + 6

, so

b = - 5, c = 6

, and

b + c = 1

.

Answer: D) 1

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