Answer:
f(x) = (x + 11) (x + 3) (x − 1) (x − 3)
Step-by-step explanation:
f(x) = x⁴ + 10x³ − 20x² − 90x + 99
f(x) is a fourth order polynomial, so it has 4 roots. Use rational root theorem to find possible rational roots.
±99, ±11, ±9, ±3, ±1
By trial and error, the zeros are -11, -3, 1, and 3.
f(x) = (x + 11) (x + 3) (x − 1) (x − 3)
50% because the first two children have no effect on the third one
Answer:
x² - 3x - 6
Step-by-step explanation:
One way to divide is to use the divisor as a factor in the numerator
Consider the numerator
= x²(x - 2) + 2x² - 5x² + 5
= x²(x - 2) - 3x(x - 2) - 6x + 5
= x²(x - 2) - 3x(x - 2) - 6(x - 2) - 12 + 5
= x²(x - 2) - 3x(x - 2) - 6(x - 2) - 7
quotient = x² - 3x - 6, remainder = - 7