Question

1. find the degree of the monomial 6p^3q^2

Answer 1

Answer:

Part 1: 5

Part 2: $13t^2+17$

Part 3:$12n^3+15n^2$

Part 4:9(2s-7)

Part 5: $25x^6-4$

Part 6: $(x^2+12x+35)$

Part 7: $4z^2-12z+9$

Step-by-step explanation:

Part 1: we have to find the degree of monomial $6p^3q^2$

The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.

The degree of monomial= 3+2=5

Option c is correct.

Part 2:  simplify $(7t^2+9) + (6t^2+8)$

$(7t^2+9) + (6t^2+8)$

$(7t^2+6t^2)+(9+8)$

$13t^2+17$

Option b is correct.

Part 3: simplify $3n(4n^2+5n)$

$3n(4n^2+5n)$

By distributive property

$12n^3+15n^2$

Option a is correct.

Part 4: . factor 18s-63

18s-63

Taking 9 common from both terms

9(2s-7)

Option d is correct.

Part 5: simpler form of $(5x^3+2)(5x^3-2)$

$(a-b)(a+b)=a^2-b^2$

$(5x^3+2)(5x^3-2)=(5x^3)^2-2^2=25x^6-4$

Option d is correct.

Part 6:  simplify (x+7)(x+5)

$(x+7)(x+5)=(x^2+5x+7x+35)=(x^2+12x+35)$

Option a is correct.

Part 7: simplify $(2z-3)^2$

$(a-b)^2=a^2+b^2-2ab$

$(2z-3)^2=(4z^2+9-2(2z)(3)=4z^2-12z+9$

Option d is correct.

Answer 2

Theses are the answers for connections.

1.C

2.B

3.A

4.D

5.D

6.A

7.D

Hope this helps! Have a great day!