Question

12) If x = 2 and x = 0 are zeroes of the polynomial 2x² - 5x2 +p x + b, then find the value of p and b
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Answer 1

Answer:

p=6  ,  b=0

Step-by-step explanation:

GIVEN,

the polynomial f(x)=2x²-5(2)x+px+b=0

the zeroes of the polynomial are x = 2,0

substitute x=0 in f(x)

b=0..........................(1)

substitute x=2 in f(x)

2(2)²-10(2)+p(2)+b=0

8-20+2p+b=0

-12+2p+b=0

2p=12 {∵from eq.(1)}

p=6