The term with the highest degree in the polynomial k(x) is 2x^4, as it has the highest exponent.

The constant term in the polynomial P(x) is the term that does not contain any variable, which is -7.

The constant term in the polynomial P(x) is -7.

The constant term in the polynomial P(x) is -7.

The leading coefficient is the coefficient of the term with the highest degree, which is 7 in this case.

The leading coefficient of a polynomial is the coefficient of the term with the highest degree, which is 7 in this case.

The leading coefficient of a polynomial is the coefficient of the term with the highest degree, which in this case is -5.

The product of the roots of a quadratic polynomial ax^2 + bx + c is given by c/a, which is 10/1 = 10.

When adding the polynomials, combine like terms: (2x^2 + 3x + 4) + (3x^2 - x + 2) = 5x^2 + 2x + 6.

When adding the polynomials, combine like terms: (2x^2 + x^2) + (3x - 5x) + (-4 + 6) = 3x^2 - 2x + 2.

Adding the two polynomials gives (3x^2 + 4x^2) + (2x - x) + (1 + 5) = 7x^2 + x + 6.

Adding the two polynomials gives (3x^2 + 4x^2) + (2x - 3x) + (-1 + 5) = 7x^2 - x + 4.

Adding the coefficients of like terms gives 6x^2 + 2x + 5.

Adding the two polynomials gives (2x^2 + 5x^2) + (3x - x) + (4 + 2) = 7x^2 + 2x + 6.

Adding the polynomials gives (3x^2 + x^2) + (2x - x) + (1 + 4) = 4x^2 + x + 5.

Substituting x = 1 into P(x) gives P(1) = 2(1)^2 + 3(1) - 5 = 0.

Substituting x = 1 into P(x) gives P(1) = 1^3 - 3(1^2) + 4 = 2.

Substituting x = 2 into P(x) gives P(2) = 2^3 - 3(2^2) + 4 = 8 - 12 + 4 = 0.

Substituting x = 2 into the polynomial gives p(2) = 3(2^2) - 2(2) + 1 = 12 - 4 + 1 = 9.

Substituting x = 2 into the polynomial gives p(2) = 3(2^2) - 4(2) + 1 = 12 - 8 + 1 = 5.

Substituting x = 2 into the polynomial gives P(2) = 4(2^2) - 3(2) + 7 = 16 - 6 + 7 = 27.

Substituting x = -1 gives P(-1) = 5(-1)^2 - 3(-1) + 7 = 5 + 3 + 7 = 15.

A polynomial function is defined as a function that can be expressed as a sum of powers of x with constant coefficients.

A polynomial that includes a variable in the denominator is not a polynomial function.

The expression 1/x + 2 is not a polynomial function because it contains a term with a negative exponent.

Since the leading coefficient is negative and the degree is even, both ends of the polynomial go down.

The leading coefficient is defined as the coefficient of the term with the highest degree in the polynomial.

The product (x + 1)(x - 1) is a difference of squares, resulting in x^2 - 1.

The product of the roots of a quadratic polynomial ax^2 + bx + c is given by c/a. Here, c = 4 and a = 1, so the product is 4.

Polynomial functions are continuous and smooth, meaning they do not have breaks, holes, or sharp corners.