please help i dont know how to do this?
1. Choose the polynomial that is written in standard form.
Choose one answer.
a. −3x5y2 + 4x3y + 10x2
b. −8xy2 + 4x4y2 + 3x3
c. x4y2 + 4x3y5 + 10x4
d. x6y2 + 4x3y8 + 10x7
Question 3
Marks: 5
[7.02] Choose the correct sum of the polynomials (3x3 − 5x − 8) + (5x3 + 7x + 3).
Choose one answer.
a. 8x3 + 2x + 5
b. 2x3 − 12x − 11
c. 2x3 + 12x − 5
d. 8x3 + 2x − 5
Question 4
Marks: 5
[7.03] Identify the Exponent Law shown in the example below.
(a2)3 = a2·3 = a6
Choose one answer.
a. Power of a Product
b. Power of a Power
c. Product of Powers
d. None of the Above
Question 5
Marks: 5
[7.03] Choose the correct simplification of the expression (4x3y2z4)(2x3y4z3).
Choose one answer.
a. 8x9y8z12
b. 6x6y6z7
c. 8x6y6z7
d. 6x9y8z12
Question 6
Marks: 5
[7.03] Choose the correct simplification of the expression (5a7b)2.
Choose one answer.
a. 25a14b2
b. 25a9b2
c. 25a14b
d. 10a14b2
Question 7
Marks: 5
[7.03] Choose the correct simplification of the expression (6x2y)2(y2)3.
Choose one answer.
a. 12x4y8
b. 36x4y5
c. 36x4y8
d. 12x2y7
Answers & Comments
Verified answer
(1) The Standard Form for writing a
polynomial is to put the terms with the highest degree first (in descending order of degree)
[OpTiOn A] is in standard form since:
−3x5y2 (with degree 5+2=7) is written first before 4x3y (with degree 3+1=4) which is also written before 10x2 (with degree 2)
ANS: (A)
``
(3) (3x3 − 5x − 8) + (5x3 + 7x + 3)
= 3x3 - 5x - 8 + 5x3 + 7x + 3
= (3x3 + 5x3) + (7x - 5x) + (3 - 8)
= 8x3 + 2x - 5
ANS: (D)
``
(4) power of a power: you multiply
the exponents.
ANS: (B)
``
(5) (4x3y2z4)(2x3y4z3)
= (4*2)*(x3*x3)*(y2*y4)*(z4*z3)
= 8*(x(3+3))*(y(2+4))*(z(4+3))
= 8x6y6z7
ANS: (C)
``
(6) (5a7b)2.
= (5)2*(a7)2*(b)2
= 25*a(7*2)*b2
= 25a14b2
ANS: (A)
``
(7) (6x2y)2(y2)3
= (6)2*(x2)2*(y)2 * (y2)3
= 36*x(2*2)*y2 * y(2*3)
= 36x4*y2*y6
= 36x4y(2+6)
= 36x4y8
ANS: (C)