I need help in finding the roots of the polynomial 5x2-x....
What is the degree of -5a2b + 4a2 - 2b +5...
I need to kown what the product of x+5 and 3x-2....
I need the solutions to these problems...thank You
To find the roots of a polynomial, you can set the polynomial equal to zero and solve for the variable. Let's solve these problems step by step:
1. Polynomial: 5x^2 - x
To find the roots of this polynomial, we set it equal to zero:
5x^2 - x = 0
Factoring out the common factor, which is x:
x(5x - 1) = 0
Now we have two possibilities:
x = 0 or 5x - 1 = 0
For the second equation, we solve for x:
5x = 1
x = 1/5
Thus, the roots of the polynomial are x = 0 and x = 1/5.
2. Degree of the polynomial: -5a^2b + 4a^2 - 2b + 5
The degree of a polynomial is the highest power of the variable present. In this case, the highest power of a is 2 and the highest power of b is 1. Therefore, the degree of the polynomial is 2.
3. Product of (x + 5) and (3x - 2)
To find the product, we can use the distributive property:
(x + 5)(3x - 2) = x(3x) + x(-2) + 5(3x) + 5(-2)
= 3x^2 - 2x + 15x - 10
= 3x^2 + 13x - 10
Thus, the product of (x + 5) and (3x - 2) is 3x^2 + 13x - 10.
I hope this helps! Let me know if you have any further questions.