This may be a little advanced for the SAT, but complex numbers sometimes show up –as do cubic polynomials– so hopefully you can address this for me! TIA!
Which of the following could be the full set of complex roots of a cubic polynomial with real coefficients?
A. { 0, 1, i}
B. {1, i, 2i}
C. {2, i}
D. {3, 2 + i, 2 – i}
PWN p. 151 #8 question
In PWN the SAT Math Guide (4th Ed, first printing p. 151), Polynomials chapter question #8, you explain the answer by graphing on calculator. Could you explain the answer to this question without graphing, in particular, why A, C and D are true and why B is false? Many thanks!
f(x) = x^3 – cx^2 + 4x – 4c
In the function f above, c is a constant. How many x-intercepts does the function have?
Can you show how to solve this through logic/algebra? TIA!!
Hi Mike, Can you work the solution for Test 7, Section 3, #13? Thanks!
PSAT #2, Section 3, #16
PSAT #1, Section 3, #17
Hi Mike,
Can you give me some help with question 10 in the Polynomials section of PWN (pg 149)? I plug in x=-3, per your suggestion, and I get 41 as the answer on the left-hand side of the equation and 3(-3) – 13 + a on the right. That means 41 = -22 + a, or a = 63. What am I missing? Thanks!
Hi Mike. How would you do practise test 8, section 3 question 11? Can you explain the whole polynomials to an odd/even degree etc. The collegeboard answer was a little confusing
Thank you!
Problem #25 in the calculator-allowed section of Practice Test #4, please.
I’m not sure you are answering questions about Practice Test 6 yet. If so, would you please work # 12 in section 3 of that test?
Would you please show an easy way to solve this:
a(x) = x^3 +3x^2 + 5x
b(x) = 5x^2 + 17x + 16
Polynomial a(x) and b(x) are defined above. Which of the polynomials below has a factor of 3x + 2 ?
(A) l(x) = a(x)+ b(x)
(B) m(x) = 3a(x) + b(x)
(C) n(x) = a(x) – 3b(x)
(D) p(x) = 2a(x) + 3b(x)
Hello! Do you think you could explain number 8 in the Polynomials Practice Questions of the PWN the SAT Math Guide 4th Edition? Thank you!
can u do test 1 section 3 #15?
Test 3 Section 3 Number 13 please!
t2 sec 3 #17
