Mathematics Q U I Z B O W L D O M I N G O L A C S O N N AT I O N A L H I G H S C H O O L Easy Round 10 secs 2 1. If a fifth-degree polynomial is divided by a third-degree polynomial, what is the degree of the quotient? Causes of cell mutation A) 2 B) 4 C) 1 D) 3 3 Correct Answer A) 2 4 2. Divide: 𝑥 3 − 5𝑥 2 + 2𝑥 − 10 by 2 𝑥 + 2. Causes of cell mutation A) 𝑥 + 5 B) 𝑥 − 5 C) 𝑥 2 − 3𝑥 + 8 D) 𝑥 2 − 7𝑥 + 16 5 Correct Answer B) 𝑥 − 5 6 3) In the division algorithm what is the dividend? Causes of cell mutation 𝑃(𝑥) 𝑑(𝑥) =𝑞 𝑥 + A) d(x) B) r(x) C) P(x) D) Q(x) 𝑟(𝑥) , 𝑑(𝑥) 7 Correct Answer C) P(x) 8 4) Find the remainder when 𝑥 3 − 2𝑥 2 + 4𝑥 − 3 is divided by 𝑥 − 2. Causes of cell mutation A) −5 B) 27 C) −27 D) 5 9 Correct Answer D) 5 10 5) A system of three linear equations in three variables is inconsistent if their planes Causes of cell mutation only at a point A) intersect B) intersect in a line C) coincides with each other D) coincides with each other 11 Correct Answer C) coincides with each other 12 Average Round 30 secs 13 1. If a fifth-degree polynomial is divided by a third-degree polynomial, what is the degree of the quotient? Causes of cell mutation A) 2 B) 4 C) 1 D) 3 14 Correct Answer A) 2 15 2. Divide: 𝑥 3 − 5𝑥 2 + 2𝑥 − 10 by 2 𝑥 + 2. Causes of cell mutation A) 𝑥 + 5 B) 𝑥 − 5 C) 𝑥 2 − 3𝑥 + 8 D) 𝑥 2 − 7𝑥 + 16 16 Correct Answer B) 𝑥 − 5 17 3) In the division algorithm what is the dividend? Causes of cell mutation 𝑃(𝑥) 𝑑(𝑥) =𝑞 𝑥 + A) d(x) B) r(x) C) P(x) D) Q(x) 𝑟(𝑥) , 𝑑(𝑥) 18 Correct Answer C) P(x) 19 4) Find the remainder when 𝑥 3 − 2𝑥 2 + 4𝑥 − 3 is divided by 𝑥 − 2. Causes of cell mutation A) −5 B) 27 C) −27 D) 5 20 Correct Answer D) 5 21 5) A system of three linear equations in three variables is inconsistent if their planes Causes of cell mutation only at a point A) intersect B) intersect in a line C) coincides with each other D) coincides with each other 22 Correct Answer C) coincides with each other 23 Difficult Round 60 secs 24 1. If a fifth-degree polynomial is divided by a third-degree polynomial, what is the degree of the quotient? Causes of cell mutation A) 2 B) 4 C) 1 D) 3 25 Correct Answer A) 2 26 2. Divide: 𝑥 3 − 5𝑥 2 + 2𝑥 − 10 by 2 𝑥 + 2. Causes of cell mutation A) 𝑥 + 5 B) 𝑥 − 5 C) 𝑥 2 − 3𝑥 + 8 D) 𝑥 2 − 7𝑥 + 16 27 Correct Answer B) 𝑥 − 5 28 3) In the division algorithm what is the dividend? Causes of cell mutation 𝑃(𝑥) 𝑑(𝑥) =𝑞 𝑥 + A) d(x) B) r(x) C) P(x) D) Q(x) 𝑟(𝑥) , 𝑑(𝑥) 29 Correct Answer C) P(x) 30 4) Find the remainder when 𝑥 3 − 2𝑥 2 + 4𝑥 − 3 is divided by 𝑥 − 2. Causes of cell mutation A) −5 B) 27 C) −27 D) 5 31 Correct Answer D) 5 32 5) A system of three linear equations in three variables is inconsistent if their planes Causes of cell mutation only at a point A) intersect B) intersect in a line C) coincides with each other D) coincides with each other 33 Correct Answer C) coincides with each other 34 Thank you jml 35