Answer with explanation:
It is given that, G C F of two polynomials is 5 z.
We have to Write that two polynomials.
A=5 z² + 5 z =5× z× (z+1)
B=10 z + 5 z²=5×z×(z+2)
→→G C F ,of A and B=5 z
Now, writing polynomials in equivalent form
1.5 z² + 5 z =5× z× (z+1)=(z+1)×z×5=5 z + z²
2. 10 z + 5 z²=5×z×(z+2)=(z+2)×z×5=5 z² + 10 z
to write in equivalent form of above polynomials, we have used commutative property of addition ,and Multiplication ,which states that, A+B=B +A, and AB=BA.
And, Distributive property of multiplication with respect to addition and Subtraction.
1. A × (B +C)=A × B + A × C
2. A × (B -C)=A × B - A × C
0 as it produces an integer greater than f(x)