Question

If a polynomial p ( x ) = x 2 − a x + b has two zeroes 1 and 7, what is the value of a b ? 8 56 42 7

Answer 1

Answer:

A=8 and B=7

Explanation:

Hope it helps

Answer 2

Answer:

a = 8 ;

b = 7

Explanation:

∵ 1 is a zero,

p(1)=0

⇒ 12−a+b=0

⇒ a−b=1......eq (i)

Also,

∵ 7 is also a zero,

p(7)=0

⇒ 72−(7)a+b=0

⇒ 7a−b=49......eq (ii)

Subtracting (i) from (ii), we have

7a−b−a+b=48

⇒ 6a=48

⇒ a=8

Substituting a=8 in eq (i), we have

8−b=1

⇒ b=7

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