Find a cubic polynomial whose zeroes are 3,5 and -2.
Answers
Answered by
3
Answer:
Step-by-step explanation:
Attachments:
Answered by
10
Answer:
Step-by-step explanation:
Since zeroes are 3,5 and -2 , factors of polynomial be (x-3),(x-5),(x+2)
Cubic polynomial will be
(x-3)(x-5)(x+2)
(x² - 8x +15)(x+2)
x³-8x²+15x+2x²-16x+30
x³-6x²-x+30
Check
f(3) = 3³-6*3²-3+30=27-54-3+30=57-57=0
f(5) = 5³-6*5²-5+30=125-150-5+30=155-155=0
f(-2) = (-2)³-6(-2)²-(-2)+30=-8-24+2+30=-32+32=0
Similar questions