You're viewing 1 free preview question for Maths AA HL — subscribe to unlock 68 more, plus the Full Question Bank, Mock Papers & Worksheets.Upgrade

Polynomials and Rational Functions · Paper 2 — Free Maths AA HL Practice Questions

1MasterySAQ-SPolynomial expressions and their factorizationss9 marksPaper 2~14 min
The polynomial P(x)=2x3+ax2+bx−6P(x) = 2x^3 + ax^2 + bx - 6 has factors (x−1)(x-1) and (x+2)(x+2).
(a)
Show that a=5a = 5 and b=−1b = -1. [3 marks]
(b)
Hence factorize P(x)P(x) completely. [2 marks]
(c)
The curve y=P(x)y = P(x) is translated by vector (k0)\begin{pmatrix} k \\ 0 \end{pmatrix}, where k∈Z+k \in \mathbb{Z}^+, to give the curve y=Q(x)y = Q(x). Given that Q(x)Q(x) has a repeated linear factor, find the value of kk and write down Q(x)Q(x) in fully factorized form. [4 marks]
diagram

Solutions

Questions 2-69

Unlock these questions with Premium

Sign Up →

That's every free question here — 1 of 69.

+68 more questions, plus Mock Papers & Worksheets, are waiting in Premium.

Upgrade