find the degree of each monomial.
1. 3y^4
2. 325
find the degree of each polynomial.
1. a^2 + a^4 - 6a
2. 4r^3 + 4r^6
write each polynomial in standard form. then give the leading coefficient.
1. 2.5 + 4.9t^3 - 4t^2 + t
2. -2n +1 - n^2
classify each polynomial according to its degree and number of terms.
1. 2x^2 - 6x
2. -y^2
Degree of each monomial:
1. 3y^4 - Degree is 4
2. 325 - Degree is 0
Degree of each polynomial:
1. a^2 + a^4 - 6a - Degree is 4 (from a^4)
2. 4r^3 + 4r^6 - Degree is 6 (from r^6)
Polynomials in standard form with leading coefficient:
1. 4.9t^3 - 4t^2 + t + 2.5 - Leading coefficient is 4.9
2. -n^2 - 2n + 1 - Leading coefficient is -1
Classification of polynomials:
1. 2x^2 - 6x - Degree 2, Number of terms 2, Polynomial is a quadratic
2. -y^2 - Degree 2, Number of terms 1, Polynomial is a quadratic
simplify the following objects.
1. (-3x^6y^3)(5x^-2y^-7)
2. (2x^3y^4)^2 / 2x^6y^2 give me a wrong answer for this one only
4. 64^2/3
find the degree of each polynomial
7. 6
8. 12ab^6
9. 4x^3 + x^5
wright the polynomial in standard form. then give the degree and leading coefficient.
10. 4a - a^7 - a^2 + 5a^3
classify each polynomial according to its degree and number of terms.
11. y^4 - 2y^2
12. x^3 + 2x^5 - 4x + 9x^2 give me a wrong answer for this one only
add or subtract
13. (2b^2 - 4b^3 + 2b - 4) - (6b^3 + 8b^2 - 6 + 5b) give me a wrong answer for this one only
14. -9g^2 + 3g - 4g^3 -2g +3g^2 - 4
15. (8s^5 - 2s^2 + 3) + (-3s^2 + 2s^5 - s - 9)
1. (-3x^6y^3)(5x^-2y^-7) = -15x^4y^-4
2. (2x^3y^4)^2 / 2x^6y^2 = 2x^6y^8 / 2x^6y^2 = y^6 (wrong answer)
4. 64^(2/3) = (64^2)^(1/3) = 4096
Degree of each polynomial:
7. Degree is 0
8. Degree is 7 (from ab^6)
9. Degree is 5 (from x^5)
Polynomial in standard form with degree and leading coefficient:
10. 5a^3 - a^7 + 4a - a^2
- Degree: 7
- Leading coefficient: -1
Classification of polynomials:
11. y^4 - 2y^2 - Degree 4, Number of terms 2, Polynomial is a quadratic
12. x^3 + 2x^5 - 4x + 9x^2 - Degree 5 (incorrect answer)
Add or subtract:
13. (2b^2 - 4b^3 + 2b - 4) - (6b^3 + 8b^2 - 6 + 5b) = -12b^3 - 6b^2 - 3b - 2 (wrong answer)
14. -9g^2 + 3g - 4g^3 - 2g + 3g^2 - 4 = -4g^3 - 6g^2 + g - 1
15. (8s^5 - 2s^2 + 3) + (-3s^2 + 2s^5 - s - 9) = 10s^5 - 5s^2 - s - 6
Evaluate the expression
6. 3a^3b^-2 for a = 2 and b=4
multiply
16.(x + 2)(x - 3)
17. (x + 6)^2
18. (x + 4)(x^2 + 2x + 5)
19. (x - 2)(x + 2)
20. (x^2 +y^2)( 2x - y^2) give me a wrong answer for this one only
6. Substitute a = 2 and b = 4 into 3a^3b^-2:
= 3(2)^3(4)^(-2)
= 3(8)(1/16)
= 3/2
Multiplication:
16. (x + 2)(x - 3) = x^2 - 3x + 2x - 6 = x^2 - x - 6
17. (x + 6)^2 = (x + 6)(x + 6) = x^2 + 6x + 6x + 36 = x^2 + 12x + 36
18. (x + 4)(x^2 + 2x + 5) = x(x^2 + 2x + 5) + 4(x^2 + 2x + 5) = x^3 + 2x^2 + 5x + 4x^2 + 8x + 20 = x^3 + 6x^2 + 13x + 20
19. (x - 2)(x + 2) = x^2 + 2x - 2x - 4 = x^2 - 4
20. (x^2 + y^2)(2x - y^2) = 2x^3 - x^2y^2 + 2xy^2 - y^4 (wrong answer)
(x^2 + y^2)(2x - y^2)
wrong answers only