JAMB Mathematics · Algebra
Polynomials: JAMB Mathematics Past Questions and Answers
What the JAMB syllabus covers in Polynomials
Our summary: Rearranging formulae, factorising and dividing polynomials, and solving simultaneous equations.
- Change of subject of formula
- Addition, subtraction, multiplication and division of polynomials
- Factorization of polynomials of degree not exceeding 3
- Roots of polynomials not exceeding degree 3
- Factor and remainder theorems
- Simultaneous equations including one linear one quadratic
- Graphs of polynomials of degree not greater than 3
Objectives
- Find the subject of the formula of a given equation
- Apply factor and remainder theorem to factorize a given expression
- Multiply, divide polynomials of degree not more than 3 and determine values of defined and undefined expression
- Factorize by regrouping difference of two squares, perfect squares and cubic expressions, etc.
- Solve simultaneous equations: one linear, one quadratic
- Interpret graphs of polynomials including applications to maximum and minimum values
Syllabus content © The Joint Admissions and Matriculation Board (UTME).
JAMB Mathematics questions on Polynomials
- JAMB 2025If A = /360 r^2 , make the subject of the formula
- JAMB 2024Find the roots of x ^3 - 19x - 30=0
- JAMB 2024Make q the subject of the relation t = √(pq/r - r^2q)
- JAMB 2023Make x the subject of the formula: y = 3x - 9c 4x + 5d
- JAMB 2023200 tickets were sold for a show. VIP tickets costs ₦1,200 and ₦700 for regular. Total amount realised from the sale of the tickets was ₦180,000. Find the…
- JAMB 2023A rectangle has one side that is 6 cm shorter than the other. The area of the rectangle will increase by 68 cm ^2 if we add 2 cm to each side of the rectangle…
- JAMB 2023Tickets for the school play were priced at ₦520.00 each for adults and ₦250.00 each for kids. How many kids' tickets were sold if the total sales were…
- JAMB 2023Factorize: 16x^4 - y^4
- JAMB 2023If -2x^3 + 6x^2 + 17x - 21 is divided by (x + 1) , then the remainder is
- JAMB 2022Given that r = 3v/ h , make v the subject of the formula
- JAMB 2022Factorize 4a ^2 - 9b ^2
- JAMB 2021Factorize completely 81a ^4 - 16b ^4
- JAMB 2021If (x + 2) and (x - 1) are factors of the expression Lx + 2kx^ 2 + 24 , find the values of L and k.
- JAMB 2021Solve the following equation: 2/(2r - 1) - 5/3 = 1/(r + 2)
- JAMB 2021If g(x) = x ^2 + 3x find g(x + 1) - g(x)
- JAMB 2021factorize m ^3 - m ^2 + 2m - 2
- JAMB 2020Simplify 324 - 4x^2/2x + 18
- JAMB 2020Factorise (4a + 3) ^2 - (3a - 2) ^2
- JAMB 2019If f(x) = 3x^3 + 4x^2 + x - 8 , what is the value of f(-2)?
- JAMB 2019A bricklayer charges ₦1,500 per day for himself and ₦500 per day for his assistant. If a two bedroom flat was built for ₦95,000 and the bricklayer worked 10…
- JAMB 2019If P = (Q(R - T)/15)^ 1/3 , make T the subject of the formula.
- JAMB 2019If 2 ^ x + y = 16 and 4 ^ x - y = 1/32 , find the values of x and y.
- JAMB 2019Find the value of x and y in the simultaneous equation: 3x + y = 21; xy = 30
- JAMB 2019If 2x ^2 + x - 3 divides x - 2, find the remainder.
- JAMB 2019If 6x^3 + 2x^2 - 5x + 1 divides x^2 - x - 1 , find the remainder.
- JAMB 2019Find the polynomial if given q(x) = x ^2 - x - 5, d(x) = 3x - 1 and r(x) = 7.
- JAMB 2019Make q the subject of the formula in the equation mn/a^2 - pq/b^2 = 1
- JAMB 2018If x/a + 1 + y/b = 1. Make y the subject of the relation.
- JAMB 2018Solve for t in the equation 3/4 t + 1/3 (21 - t) = 11
- JAMB 2017The value of x + x ( xx) when x = 2 is
- JAMB 2017Given m = N √SL/T make T the subject of the formula
- JAMB 2017Make S the subject of the relation p = s + sm^2/nr
- JAMB 2017Factorize completely X2+2XY+Y2+3X+3Y-18
- JAMB 2017If α and β are the roots of the equation 3x2 + 5x - 2 = 0, find the value of 1/α + 1/β
- JAMB 2017What is the product of 2x2 − x + 1 and 3 − 2x
- JAMB 2017Divide 4x3 - 3x + 1 by 2x - 1
- JAMB 2016If N = p/2 ( T 1 - T 2/T 1 ). Find P when N = 12, T1 = 27 and T2 = 24.
- JAMB 2016Factorize k2 - 2kp + p2.
- JAMB 2016Solve for x and y respectively 3x - 5y = 9 6x - 4y = 12
- JAMB 2015Solve x2 − 2x − 3 = 0
- JAMB 2015Make x the subject of the equation s = 2 + t/5 (x + ⅗y)
- JAMB 2015The sum of two numbers is 5; their product is -14. Find the numbers.
- JAMB 2015Simplify 1/(x + 1) + 1/(x − 1)
- JAMB 2015Calculate the value of x and y if (27x ÷ 81x+2y = 9 ,x + 4y = 0
- JAMB 2015Factorize x^2 − 2x − 15
- JAMB 2015Factorize a^2 − b^2 − 4a + 4
- JAMB 2015Factorize x2 + 9x + 20
- JAMB 2015Solve the equation 3x^2 − 4x − 5 = 0
- JAMB 2015If √ (2x + 2) − √x =1 ,find x.
- JAMB 2014A binary operation is defined by x y = xy. If x 2 = 12 - x, find the possible values of x
These are the most recent ones. There are more questions on this topic in the DeeepSolve question bank.
Years with Polynomials questions in DeeepSolve's question bank
From the past questions DeeepSolve holds, not a count of everything the exam body has set.
- 2025
- 2024
- 2023
- 2022
- 2021
- 2020
- 2019
- 2018
- 2017
- 2016
- 2015
- 2014
- 2013
- 2012
- 2011
- 2010