Question

Find a quadratic polynomial whose zeroes are 5 – 3√2 and 5 + 3√2.

Answer 1

Answer:

Step-by-step explanation

quadratic polynomial = x²-(sum of the zeroes)x+(product of the zeroes)

                                      =x²-[(5-3√2)+(5+3√2)] x+[(5-3√2)(5+3√2)]

                                    = x²-[5+5+3√2-3√2]x+[5²-(3√2)²]

                                    = x²-10x+[25-18]

                                    =x²-10x+7