Consider the following polynomial functions.
f(a) = (2a - 7 + a?) and g(a) = (5 – a).

1 false

2 true

3 true

4 false

5 true

Step-by-step explanation:

f(a) = (2a - 7 + a^2) and g(a) = (5 – a).

1 false f(a) is a second degree polynomial and g(a) is a first degree polynomial

When added together, they will be a second degree polynomial

2. true  When we add and subtract polynomials, we still get a polynomial, so it is closed under addition and subtraction

3.  true  f(a) + g(a) = (2a - 7 + a^2) + (5 – a)

Combining like terms = a^2 +a -2

4.  false   f(a) - g(a) = (2a - 7 + a^2) - (5 – a)

Distributing the minus sign (2a - 7 + a^2) - 5 + a

Combining like terms  a^2 +3a -12

5.  true  f(a)* g(a)  = (2a - 7 + a^2)  (5 – a).

Distribute

                       (2a - 7 + a^2)  (5)  – (2a - 7 + a^2)  (a)

                        10a -35a +5a^2 -2a^2 -7a +a^3

Combining like term

-a^3 + 3 a^2 + 17 a - 35

Statement 2,3 and 5

Step-by-step explanation:

The sum, difference and product of two (or more) polynomials is also a polynomial.

Statement 2 is correct

Sum:

(a² - 7 + 2a) + (5 - a)

a² + 2a - a - 7 + 5

a² + a - 2

Statement 3 is correct

This is a degree 2 polynomial so

Statement 1 is incorrect

Difference:

(a² - 7 + 2a) - (5 - a)

a² + 2a + a - 7 - 5

a² + 3a - 12

Statement 4 is incorrect

Product:

(a² + 2a - 7) × (-a + 5)

-a³ + 5a² - 2a² + 10a + 7a - 35

-a³ + 3a² + 17a - 35

Statement 5 is correct

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)