Question Bank: Polynomials

What is the degree of the polynomial p(x) = 2x² - 3x + 5?

Which of the following is a quadratic polynomial?

If p(x) = x² - 4, what are the zeroes of the polynomial?

For the polynomial p(x) = x² + 5x + 6, which method can be used to find its zeroes?

Which of the following ratios holds true if k is a zero of p(x) = ax² + bx + c?

If the polynomial q(x) = x² + 4x + 4 has a double root, what is this root?

Evaluate p(2) for the polynomial p(x) = 3x² - 5x + 2.

What is the value of k if it is a zero of p(x) = 2x² + 8?

What can be said about the roots of the polynomial p(x) = x² - 1?

If the coefficients of a quadratic polynomial are all zero, what can be said about its zeroes?

Which expression represents the factored form of p(x) = x² - 9?

The sum of the zeroes of the polynomial p(x) = 3x² + 6x + 9 is?

For the polynomial p(x) = x² + 2x + 1, which method confirms the presence of a double root?

What is the discriminant of the polynomial p(x) = 2x² - 4x + 2?

How many real zeroes does the polynomial p(x) = x² + 1 have?

What is the value of p(-2) for p(x) = x² - 5x + 6?

Find the value of the sum of the zeroes of the polynomial p(x) = -4x² + 8x - 2.

What is the degree of the linear polynomial p(x) = 3x - 7?

Which of the following is a linear polynomial?

Find the zero of the linear polynomial p(x) = 4x + 12.

In the polynomial p(x) = 5x + 10, what is the value of x for which p(x) = 0?

The zero of the polynomial p(x) = -2x + 8 is:

What is a polynomial of degree 1 called?

If p(x) = 3x - 9, what can we say about its root?

Which of the following is NOT a polynomial?

What is the relationship between the coefficients and the zero of linear polynomial ax + b?

What is the standard form of a polynomial?

Which of the following polynomial is not linear?

If p(x) = x^2 - 5x + 6, what are its zeroes?

For the polynomial p(x) = x + 5, which of the following is true?

For the polynomial p(x) = 4x^2 - 12x + 9, what can be said about its zeroes?

Which operation will not change the degree of a linear polynomial?

Which polynomial is the result of dividing p(x) = 2x^3 + 3x^2 - x + 7 by x - 1?

What are the possible values of k if p(k) = 0 for the polynomial p(x) = 6x - 24?

What is the leading coefficient of the polynomial p(x) = 5x^4 + 3x^2 - 2?

The linear polynomial p(x) = -x + 11 has its zero at which point?

Which of the following represents the remainder when the polynomial p(x) = x^3 - 4x + 6 is divided by x - 2?

Identify the root of the polynomial p(x) = 8 - 3x.

In polynomial p(x) = 3x^3 + bx + 2, if it assumes a zero at x = 1, what is the value of b?

How many zeroes can a linear polynomial have?

Which of the following polynomials is not defined for all real numbers?

For which linear polynomial is x = -5 a root?

If a polynomial p(x) is expressed as p(x) = (x - 4)(x + 2), what are its roots?

What type of polynomial is represented by p(x) = x^3 - x?

What is the sum of the zeroes of the quadratic polynomial p(x) = 2x² - 4x + 1?

If the zeroes of the polynomial p(x) = x² + bx + c are 3 and -1, what is the value of b?

For the quadratic polynomial 5x² - 7x + 3, what is the product of its zeroes?

If a polynomial p(x) is defined as p(x) = x² + 2x + 1, which of the following is true about its zeroes?

The polynomial 2x² - 4x + 2 has its zeroes related to which of the following coefficients?

For the polynomial p(x) = x² + 5x + 6, what are the zeroes?

What does it indicate if a polynomial has a zero equal to its leading coefficient?

What are the zeroes of the polynomial p(x) = x² – 3x – 4?

If the polynomial p(x) = x² + px + q has zeroes 1 and -1, what is the value of p?

Which of the following points is a zero of the polynomial p(x) = x² – 5x + 6?

In the polynomial p(x) = 2x² + 3x – 5, what is the significance of its zeroes?

Which of the following properties applies to the zeroes of the polynomial p(x) = 3x³ - 6x² + 3?

If one of the zeroes of the polynomial p(x) = x² + px + q is k, what can you say about p and q?

For the polynomial p(x) = x³ - 7x, what is the sum of the zeroes?

The graph of a polynomial touches the x-axis at a zero x = 3. What does this indicate about the nature of the zero?

If the quadratic polynomial p(x) = ax² + bx + c has 2 distinct zeroes, which condition must be satisfied?

If the polynomial p(x) = x³ + bx² + cx + d has a zero at x = 2, what can be concluded?

What represents the relation between zeroes and coefficients for cubic polynomials?

What do the coordinates of the zeroes of a quadratic polynomial represent?

For the polynomial p(x) = 4x³ - 12x² + 9x, how can you determine its zeroes?

For the polynomial p(x) = 2x³ – 4x² + x, what is the sum of its zeroes?

Which of these polynomials has integer roots?

What does the degree of a polynomial tell us about its zeroes?

Which of the following statements about the zeroes of the polynomial p(x) = x² + 2x + 1 is true?

Why are zeroes important in polynomial equations?

If the quadratic polynomial p(x) = ax² + bx + c has zeroes at x = r and x = s, what is the expression for the sum of the zeroes?

For what value of k do the zeroes of p(x) = x² + kx + 16 become equal?

What is the effect of having complex roots in a polynomial on its graph?

What is the standard form of a quadratic polynomial?

If p(x) = 3x^2 - 5x + 2, what is the leading coefficient?

What are the zeroes of the polynomial p(x) = x^2 - 4?

Which of the following is a quadratic polynomial?

If the coefficient of x^2 is 5, what is the value of p(1) for the polynomial p(x) = 5x^2 - 2x + 1?

The product of the zeros of the polynomial p(x) = 2x^2 + 3x - 5 is given by which formula?

Which polynomial has a degree of 2?

If the quadratic polynomial p(x) = x^2 + bx + c has its vertex at (2, -3), what is the value of b?

In the polynomial p(x) = 3x^2 + 6x + 9, what is the sum of the coefficients?

Which of these statements is TRUE regarding the roots of a quadratic polynomial?

If the roots of a quadratic polynomial are p and q, what is the sum of the roots in relation to the coefficients?

In the quadratic polynomial p(x) = 5x^2 - 7x + 2, what are the values of a, b, and c?

What is the value of p(-2) for p(x) = x^2 + 3x - 4?

Which polynomial shows the relationship between its zeroes and coefficients?

Which of the following is the general form of a cubic polynomial?

If p(x) = 4x³ + x² - 6, what is the coefficient of x²?

What is the degree of the polynomial p(x) = 2x³ - 5x + 7?

Which of the following represents a cubic equation?

How many zeroes can a cubic polynomial have?

In the polynomial p(x) = 5x³ - 3x² + 2x - 1, what is the coefficient of x?

If k is a zero of the polynomial p(x) = x³ - 6x² + 11x - 6, what equals p(k)?

What is the relationship between the coefficients and the roots of a cubic polynomial?

Evaluate the expression p(-1) if p(x) = 2x³ - 3x² + x - 5.

In the polynomial p(x) = x³ - x² - 2x + 2, what can be said about the roots?

Given the polynomial p(x) = 3x³ - 3x² + 2, what is the y-intercept?

If p(x) = ax³ + bx² + cx + d, under what condition does it have three distinct real roots?

What is the maximum number of turning points a cubic polynomial can have?

For the polynomial p(x) = x³ - 6x² + 11x - 6, what can be concluded about the sum of the roots?