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  1. Problems
  2. /Algebra
  3. /Polynomials

Polynomials

Mathematics
+ Upload a Problem
More in AlgebraLinear Equations in Two VariablesPairs of Linear EquationsPolynomialsAlgebraic Identities and FactorisationQuadratic EquationsSequences and SeriesLinear InequalitiesComplex NumbersPermutations and CombinationsBinomial TheoremMatrices and Determinants
16 problems
Type:
1.
Factorise x³ + 2x² - 13x + 10.
High School (9–10), General · Algebraic Identities and Factorisation, PolynomialsStemPy LabStemPy Lab
Hard
2.
Factorise 6x² + 11x + 3.
High School (9–10), General · Algebraic Identities and Factorisation, PolynomialsStemPy LabStemPy Lab
Medium
3.
Factorise x² + 9x + 20 and x² - 3x - 28.
High School (9–10), General · Algebraic Identities and Factorisation, PolynomialsStemPy LabStemPy Lab
Easy
4.
Show that x + 3 is a factor of x³ + 4x² + 5x + 6, and find the other factor.
High School (9–10), General · Polynomials, Algebraic Identities and FactorisationStemPy LabStemPy Lab
Medium
5.
Find the value of k for which x - 2 is a factor of kx² - 5x + 2.
High School (9–10), General · Polynomials, Algebraic Identities and FactorisationStemPy LabStemPy Lab
Medium
6.
Use the factor theorem to decide each one.
High School (9–10), General · Polynomials, Algebraic Identities and FactorisationStemPy LabStemPy Lab
Easy
7.
When x³ + kx² - 3x + 2 is divided by x - 2, the remainder is 24. Find k.
High School (9–10), General · PolynomialsStemPy LabStemPy Lab
Hard
8.
Find the remainder when x⁴ - 2x³ + x - 5 is divided by x - 2.
High School (9–10), General · PolynomialsStemPy LabStemPy Lab
Medium
9.
Find the remainder when x³ - 4x² + 2x + 5 is divided by x + 1, and then when it is divided by x - 3.
High School (9–10), General · PolynomialsStemPy LabStemPy Lab
Medium
10.
The graph of a polynomial meets the x-axis at -3, 0 and 2, and nowhere else.
High School (9–10), General · PolynomialsStemPy LabStemPy Lab
Medium
11.
Is 2 a zero of p(x) = x³ - 2x² - x + 2? Is -2 a zero?
High School (9–10), General · PolynomialsStemPy LabStemPy Lab
Medium
12.
Find the zero of each polynomial. 4x - 10; 7x + 21; 3 - 2x
High School (9–10), General · PolynomialsStemPy LabStemPy Lab
Easy
13.
Find the value of p(x) = 3x² - x + 4 at x = 0, x = 2 and x = -3.
High School (9–10), General · PolynomialsStemPy LabStemPy Lab
Easy
14.
For p(x) = 6x⁴ - x³ + 8x - 3, write the coefficient of x³, the coefficient of x², the constant term…
High School (9–10), General · PolynomialsStemPy LabStemPy Lab
Easy
15.
Write the degree of each polynomial, and say whether it is linear, quadratic, cubic or a constant.
High School (9–10), General · PolynomialsStemPy LabStemPy Lab
Medium
16.
Which of these are polynomials in x? 3x² - √5 x; x^(1/3) + 1; 2/x² + x; -8; (x + 1)(x - 4); √(x³)
High School (9–10), General · PolynomialsStemPy LabStemPy Lab
Easy