Question

p(x) = x2-7x+13

a) Find p(3) ?

b) Find p(x)- P(3)

c) Write p(x)- p(3) as the product of two first degree polynomial

d) Write the solutions of the equation p(x)- p(3) = 0​

Answer 1

Answer:

p(3)=(3)2-7.3+13

p(3)=9-21+13

p(3)=22-21

p(3)=1

p(x)-p(3)=x2-7x+13-1

p(x)-p(3)=x2-7x+12

d) p(x)-p(3)=0

x2-7x+12=0

x2-4x-3x+12=0

x(x-4)-3(x-4)=0

(x-4)(x-3)=0

x=3,x=4