This algebra 1 polynomials quiz asks 10 multiple-choice questions on adding, subtracting and multiplying polynomials, and each answer comes with a short explanation.
Answer these 10 multiple-choice questions on degree, adding, subtracting and multiplying polynomials, and special products. Each question has exactly one correct answer, and every explanation names the common mistake.
Algebra 1Common Core: A-APR.A.1 · A-SSE.A.2
🎯 Adding, Subtracting and Multiplying Polynomials – Algebra 1 math quiz
Score: 0 / 10
Answered: 0 / 10
Question 1
What is the degree of \(5x^{4}-3x^{2}+x^{6}-9\)?
A4
B6
C9
D5
Question 2
Which expression is \(7+2x^{3}-x\) in standard form?
A\(2x^{3}-x+7\)
B\(2x^{3}+x+7\)
C\(2x^{3}-x-7\)
D\(-2x^{3}-x+7\)
Question 3
Add \((3x^{2}-4x+1)+(x^{2}+6x-5)\).
A\(4x^{4}+2x-4\)
B\(4x^{2}+10x-4\)
C\(4x^{2}+2x+4\)
D\(4 x^{2} + 2 x - 4\)
Question 4
Subtract \((5x^{2}-2x+7)-(2x^{2}+3x-4)\).The two polynomials by columns.
A\(3 x^{2} - 5 x + 11\)
B\(3x^{2}+x+3\)
C\(3x^{2}-5x+3\)
D\(3x^{2}+x+11\)
Question 5
The area model shows \((x+5)(x-3)\). Which polynomial is the product?Area model.
A\(x^{2} + 2 x - 15\)
B\(x^{2}+8x-15\)
C\(x^{2}-2x-15\)
D\(x^{2}+2x+15\)
Question 6
Expand \((2x-7)^{2}\).
A\(4x^{2}-49\)
B\(4 x^{2} - 28 x + 49\)
C\(4x^{2}+28x+49\)
D\(4x^{2}-14x+49\)
Question 7
Multiply \((4x+3)(4x-3)\).
A\(16x^{2}+9\)
B\(8x^{2}-9\)
C\(16x^{2}-24x+9\)
D\(16 x^{2} - 9\)
Question 8
A rectangle has length \(x+4\) and width \(x+1\). Which polynomial gives its area?Rectangle.
A\(x^{2}+4\)
B\(4x+10\)
C\(x^{2} + 5 x + 4\)
D\(x^{2}+3x+4\)
Question 9
Which method gives \(63\times 57\) correctly?
A\(60^{2}=3{,}600\)
B\(60^{2}+3^{2}=3{,}609\)
C\(60^{2}-2(3)(60)=3{,}240\)
D\(60^{2}-3^{2}=3{,}591\)
Question 10
Which statement about polynomials is true?
AThe degree of a polynomial is its number of terms.
BDividing a polynomial by x always gives a polynomial.
CThe product of two polynomials is always a polynomial.
DEvery polynomial must have at least two terms.
🎉 Quiz complete!
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How does this quiz work?
Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.
What should you review before the quiz?
Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.
Remember:
The degree of a polynomial is its largest exponent; standard form lists terms from highest to lowest power.
To subtract polynomials, change the sign of every term in the second one, then combine like terms.
FOIL and the box method are two ways to record the same four products of two binomials.
