Advanced Math · Polynomial Expressions And Equations
SAT Polynomial Expressions And Equations Practice Questions (Free + Explanations) | Quiz 2
The table shows values of a polynomial function .
Which expression must be a factor of ?
By the Factor Theorem, if , then is a factor of . The table shows that , so must be a factor of .
For a polynomial, any input value that makes the output gives a linear factor of the form .
A polynomial satisfies . Let . Which statement must be true?
Since , substitute to connect the two functions:
The given information says , so
Therefore, the statement that must be true is .
When one polynomial is defined from another, use the given input value in the new expression. Here, subtracting from gives .
A square garden has side length feet. Which expression represents the area of the garden, in square feet?
The area of a square is side length squared. Since the side length is , the area is .
To find the area of a square, square its side length. When a side length is a binomial, use binomial multiplication correctly.
A small business models its weekly profit, in dollars, with the polynomial , where is the number of products sold in a week. According to this model, what is the profit when the business sells products?
Substitute into the polynomial:
So the profit is dollars.
To evaluate a polynomial in context, replace the variable with the given value and simplify carefully.
For the polynomial , what is the value of ?
Substitute into the polynomial: . So the value of is .
To evaluate a polynomial at a given value, replace the variable with that value and simplify using the correct order of operations.
Your results
Estimated SAT Math band
500-550
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practiceYour results
Estimated SAT Math band
500-550
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practiceYour results
Estimated SAT Math band
600-650
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practiceYour results
Estimated SAT Math band
600-650
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practiceYour results
Estimated SAT Math band
700+
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practiceYour results
Estimated SAT Math band
700+
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practice