Polynomial Long Division Homework-1

University:
California State University, Northridge
Course:
IS 441 | Database Management Systems
Academic year:

2024
Views:

0

Pages:

2
Author:

gaurav boparai

Advanced Algebra Name _______________________________________ Chapter 7A Polynomial Tools Polynomial Long Division - Homework 3 Period ______ Date ____________________________ 1) (6𝑘 2 + 𝑘 − 10) ÷ (𝑘 − 1) 2) (4𝑎4 − 11𝑎3 + 8𝑎 − 1) ÷ (𝑎 − 1) 6k^2 +k-10 Dividend: ________________________ 4a^4-11a^3 +8a1 Dividend: ________________________ k-1 Divisor: __________________________ a-1 Divisor: __________________________ 6k+7 Quotient: ________________________ 4a^3-7a^2-7a+1 Quotient: ________________________ -3 Remainder: ______________________ 0 Remainder: ______________________ 6k + 7 + -3/k-1 Complete Answer: __________________ 4a^3 -7a^2 -7a+1 Complete Answer: __________________ Is (𝑘 − 1) a factor of (6𝑘 2 + 𝑘 − 10)? k1 is not a factor of 6^2+10 3) (10𝑥 3 + 7𝑥 2 − 24𝑥 + 3) ÷ (5𝑥 + 1) Is (𝑎 − 1) a factor of (4𝑎4 − 11𝑎3 + 8𝑎 − 1)? a-1 is a factor of 4a^4 -11a^3 +8a-1 4) (15𝑟 3 + 4𝑟 2 − 10𝑟 − 35) ÷ (3𝑟 2 + 5𝑟 + 5) Quotient: 5r-3 there is no remainder. Quotient: 2^2+-5 Remainder: 8 5x+1 is not a factor of 10x^3 + 7x^2 - 24x + 3 (3^2 + 5 + 5) is a factor of (15^3 + 4^2 - 10 - 35) Is (5𝑥 + 1) a a factor of (10𝑥 3 + 7𝑥 2 − 24𝑥 + 3)? Is (3𝑟 2 + 5𝑟 + 5) a factor of (15𝑟 3 + 4𝑟 2 − 10𝑟 − 35) 5) (6𝑥 3 + 11𝑥 2 − 31𝑥 + 15) ÷ (3𝑥 − 2) 6) (8𝑥 3 + 14𝑥 + 8) ÷ (2𝑥 + 1) Quotient: 2x^2 +5x-7 Quotient: 4x^2 -2x+8 remainder: 1 Remainder: 0 1 Answer = 2x^2 +5x7+______ 3x - 2 Answer = 4x^2 2x+8 Mixed Review Factor the quadratic. 7. 𝑦 = 3𝑥 2 + 7𝑥 + 2 y=3x^2 +6x+x+2 y= (3x^2 +6x) + (x+2) y=3x(x+2) + 1(x+2) y=(3x+1) (x+2) y=(3x+1) (x+2) Solve for 𝑥 using the Quadratic Formula. 8. 2𝑥 2 + 7𝑥 + 1 = 4 + 3𝑥 2x^2 +7x+1-4-3x=0 2x^2 +4x-3=0 x= -4± 4^2 -4(2) (-3) _____________ 2(2) x= -4± 16+24 _______ 4 x= _____ -4± 40 4 x= -4±2 10 _____ 4 x= -2± 10 ____ 2 x= ______ -2+ 10 2 or x=____ -2- 10 2