Yr11X Polynomials

Question 1

what is a polynomial

Answer 1

consists of powers of x and a constant term, we can stick any real numbers in front of the powers of x

Question 2

leading term is…

Answer 2

highest power of x term

Question 3

T or F
Remainders in polynomial long division cannot be negative

Answer 3

Question 4

the remainder after polynomial long division is always at most…

Answer 4

Question 5

The Factor Theorem

Answer 5

Question 6

The Remainder Theorem

Answer 6

Question 7

practice question

Answer 7

Question 8

in a quadratic
ax² + bx + c = 0
with roots α & β

what are the products of roots? sum of roots?

Answer 8

Question 9

in a cubic
ax³ + bx² + cx + d = 0
with roots α & β & γ

what are the products of roots? sum of roots? sum of the product of 2 roots?

Answer 9

Question 10

in a quartic
ax⁴ + bx³ + cx² + dx + e = 0
with roots α & β & γ
& δ

what are FINISH THIS

Question 11

as a general rule (coefficients & sums & products)

b –> -b
c –> +c
(count backwards for rest of coefficients)

ALL on a