Answered

  1. find the degree of the monomial 6p^3q^2
A2
B3
C5

d.6

  1. simplify (7t^2+9) + (6t^2+8)
At^2 + 1
B13t^2+17
C13t^4+17

d.42t^2+72

  1. simplify 3n(4n^2+5n)
A12n^3+15n^2

b.7n^2+8n

c.12n^2+15n

d.12n^2+8n

  1. factor 18s-63

a.9(2s+7)

b.6(3s-11)

c.18(s-3)

d.9(2s-7)

  1. what is the simpler form of (5x^3+2)(5x^3-2)

a.25x^6+20x^3-4

b.25x^6-20x^3-4

c.25x^9-4

d.25x^6-4

  1. simplify (x+7)(x+5)
Ax^2+12x+35
Bx^2+35
Cx^2+12x+12
Dx^2+12x+2
  1. simplify (2z-3)^2

a.4z^2-9

b.4z^2-9z

c.4z^2-12x-9

d.4z^2-12x+9

Verified Answer :

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.

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