Question

1.Which expressions are polynomials? Select each correct answer. Pick more then one.

Answer 1

If all the power of the variables are greater than or equal to zero, then the expression is a valid polynomial.

So,

1.

$7x^{7}-x-5$

$35x^{2}$

$\frac{x}{5}+2$

are polynomials.

2.

$x^{2} -x\sqrt{2}$

y

2 + s

$4x^{2} +y$

are all polynomials.

3.

If the degree of the polynomial is 3, then it is a cubic polynomial. If the number of terms of a polynomial is 3, then it is a trinomial.

Hence, $-5x^{3}-4x+1$ is a cubic trinomial.

4.

The highest power is the degree.

Hence, degree of the polynomial is 2 + 4 = 6.

Answer 2

1. Polynomials are:
A ) 7 x^7 - x - 5
C ) 4 x + √ x - 1
D ) x/5 + 2

2. Polynomials are:
A ) x² - x √2
C ) 2 + s
D ) 4 x³ + y

3. The polynomial: - 5 x³ - 4 x + 1 is:
C ) Cubic trinomial.

4.  The degree of the polynomial: - 2 x² y^4 - 1/2 z is:
C ) 4