Please Help Me !!!!!!
1. Polynomials Add or subtract
(4x2 + 15x – 3) – (–3x2 + 5) (1 point)
A.7x2 + 15x – 8
B.x2 + 12x + 2
C.x2 + 15x – 8
D.7x2 + 8 2.
2. Simplify the polynomial.
–3f2 + 4f – 3 + 8f2 + 7f + 1 (1 point)
A.5f2 – 11f + 2
B.11f2 + 11f + 2
C.5f2 + 11f – 2
D.–5f2 + 11f – 2
3. Add or subtract
(2x2 + 6x + 1) + (–7x2 + 2x – 3) (1 point)
A.5x2 – 4x – 2
B.–5x2 + 8x – 2
C.5x2 – 8x + 2
D.–9x2 – 8x + 2
4. Name the coefficients in the polynomial.
4x2 + 3x – 3 (1 point)
A.4, –3, –3
B.4, 3
C.4, 3, 3
D.–4, –3
5. How many terms are in the following polynomial?
6x4 + 3x3 – 2x2 + 15x – 14 (1 point) A. 5
B.4
C.3
D.2
6. In the expression –7x – 5x2 + 5, what is the coefficient of x? (1 point)
A.7
B.5
C.–5
D. -7
7. Write the expression using scientific notation.
(2.5 • 104)(4 • 103) (1 point)
A.10 • 107
B.10 • 108
C.1 • 108
D.10 • 1012
8. Write the expression using a single exponent.
22 • 28 (1 point)
A.410
B.210
C.416
D.216
Answer:
(1) A
(2) C
(3) B
(4) The coefficients are 4,3,-3.
(5) A
(6) D
(7) C
(8) B
Step-by-step explanation:
(1)
The given expression is
[tex](4x^2 + 15x - 3) - (-3x^2 + 5)[/tex]
Using distributive property.
[tex](4x^2 + 15x - 3) - (-3x^2) -( 5)[/tex]
[tex]4x^2 + 15x - 3 + 3x^2 - 5[/tex]
On combining like terms.
[tex](4x^2+3x^2) + 15x +(- 3 - 5)[/tex]
[tex]7x^2 + 15x-8[/tex]
Therefore, the correct option is A.
(2)
The given expression is
[tex]-3f^2 + 4f - 3 + 8f^2 + 7f + 1[/tex]
On combining like terms.
[tex](-3f^2+ 8f^2) +( 4f + 7f )+(- 3 + 1)[/tex]
[tex]5f^2 +11f -2[/tex]
Therefore, the correct option is C.
(3)
The given expression is
[tex](2x^2 + 6x + 1) + (-7x^2 + 2x - 3)[/tex]
Combined like terms.
[tex](2x^2-7x^2) + (6x+ 2x) + (1 - 3)[/tex]
[tex]-5x^2 + 8x -2[/tex]
Therefore, the correct option is B.
(4)
The given expression is
[tex]4x^2 + 3x - 3[/tex]
A number before variable terms are called coefficient of that term.
Therefore, the coefficients are 4,3,-3.
(5)
The given expression is
[tex]6x^4 + 3x^3 - 2x^2 + 15x - 14[/tex]
It this polynomial, the number of terms is 5.
Therefore the correct option is A.
(6)
The given expression is
[tex]-7x - 5x^2 + 5[/tex]
The coefficient to x is -7.
Therefore, the correct option is D.
(7)
The given expression is
[tex](2.5\cdot 10^4)(4\cdot 10^3)[/tex]
[tex](2.5\cdot 4)\cdot (10^4\cdot 10^3)[/tex]
Using product property of exponent.
[tex](10)\cdot 10^{4+3}[/tex]
[tex]1\cdot 10^{1+4+3}[/tex]
[tex]1\cdot 10^{8}[/tex]
Therefore, the correct option is C.
(8)
The given expression is
[tex]2^2\cdot 2^8[/tex]
Using product property of exponent.
[tex]2^{2+8}[/tex]
[tex]2^{10}[/tex]
Therefore, the correct option is B.