Find the possible rational roots of y = 3x5 + 2x4 – x3 – x2 + 6x + 16
Hint
The constant's factors are ±1, ±2, ±4, ±8, and ±16. The leading term's factors are ±1 and ±3.
Answer
Find the possible rational roots of f(x) = x4 − 10x3 + 37x2 − 60x + 36
The constant's factors are ±1, ±2, ±3, ±4, ±6, ±9, ±12, ±18, and ±36. The leading term's factors are ±1.
±1, ±2, ±3, ±4, ±6, ±9, ±12, ±18, and ±36
Could the polynomial y = 5x3 − 10x2 + 17x + 28 have (x – 5) as a factor?
The factors of the constant term are on top, and the factors of the leading term are on bottom.
No, it can't.
Could the polynomial y = x4 + x3 + x2 – x – 2 have a zero between 0 and 1?
The factors of the constant term are ±1 and ±2, and the factors of the leading term ±1.
No, it can't. The leading coefficient is 1, so all of the possible roots are whole numbers.
Find all of the roots of y = 2x3 + 4x2 + 5x + 10.
Try x = -2.
The function factors to y = (x + 2)(2x2 + 5), so the roots are -2, .
You've been inactive for a while, logging you out in a few seconds...
.