(5a+2) (a+4) your answer should be a polynomials in standard form
Answers
Answer:
5a^2+22a+8
Step-by-step explanation:
=(5a+2) (a+4)
= 5a^2+20a+2a+8
=5a^2+22a+8. ans
Answer:
5a² + 22a + 8
Note:
★ Standard form of any polynomial is written in descending order of degree ( power ) of the variable .
★ The standard form of a quadratic polynomial is given as ; ax² + bx + c .
★ The possible values of the variable for which the polynomial becomes zero are called its zeros.
★ In order to find the zeros of the given polynomial , equate it to zero .
★ A quadratic polynomial can have atmost two zeros .
Solution:
Here,
The given polynomial is :
(5a + 2)(a + 4)
Now,
=> (5a + 2)(a + 4)
=> 5a(a + 4) + 2(a + 4)
=> 5a² + 20a + 2a + 8
=> 5a² + 22a + 8
Hence,
The given polynomial in its standard form is : 5a² + 22a + 8 .
°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°
Moreover,
In order to find the zeros of the given polynomial , let's equate it to zero .
Thus,
=> (5a + 2)(a + 4) = 0
=> 5a + 2 = 0 OR a + 4 = 0
=> 5a = -2 OR a = -4
=> a = -2/5 OR a = -4
Hence,
The zeros of the given polynomial are :
a = -2/5 , -4