Respuesta :
Factors of a polynomial together constitute the polynomial by multiplication. The factored form of [tex]12c^9 + 28c^7[/tex] is [tex]= 4c^7(3c^2 + 7)[/tex]
What is distributive property of multiplication over addition?
Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in [tex]2 \times x = 2x[/tex]
The given polynomial is [tex]12c^9 + 28c^7[/tex]
To factor it, we can use the fact that 12 and 28 are both having 4 as common factor since:
[tex]12 = 4 \times 3 \\28 = 4 \times 7[/tex]
Thus, the given polynomial is factored as:
[tex]12c^9 + 28c^7 = 4 \times 3 \times c^7 \times c^2 + 4 \times 7 \times c^7 = 4c^7(3c^2 + 7)[/tex]
Thus,
The factored form of [tex]12c^9 + 28c^7[/tex] is [tex]= 4c^7(3c^2 + 7)[/tex]
Learn more about factors of a polynomial here:
https://brainly.com/question/16078564
Answer:
Factors of a polynomial together constitute the polynomial by multiplication. The factored form of is
What is distributive property of multiplication over addition?
Suppose a, b and c are three numbers. Then we have:
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in
The given polynomial is
To factor it, we can use the fact that 12 and 28 are both having 4 as common factor since:
Thus, the given polynomial is factored as:
Thus,
The factored form of is
Learn more about factors of a polynomial here:
brainly.com/question/16078564
Step-by-step explanation:
