Question

1. If 2 is one of the zeroes of the polynomial p (x) = x2 – 9x + k, then k = 14.​

Answer 1

Step-by-step explanation:

P(2)=(2)^2-9(2)+k

0=4-18+k

0=-14+k

k=14

Hence proved

Answer 2

Answer:

obtain zeros P(x)=x 2 +9x+14

→ for zeros find P(x) = 0

x 2 +9x+14=0

x 2 +7x+2x+14=0

x(x+7)+2(x+7)=0

(x+7)(x+2)=0

x=−7 or x=−2

zeros is -7 & -2

→P(−7)=(−7) 2 +9(−7)+14

=+49−63+14

=0

→P(−2)=(−2)

2 +9(−2)+14

=4−18+14

=0

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