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Answer: the two factors are (5x + 3) and (2x + 1)
Explanation:
I will find the two factors of 10x² + 11x + 3.
You can use either the quadratic formula of factor.
I will use the quadratic formula:
1)
x = -3/5 and x = -1/2
2) the factors are: x - (-3/5) = 0 and x - (-1/2) = 0
Simplify them.
3) x - (-3/5) = 0
5x + 3 = 0
4) x - (-1/2) = 0
2x + 1 = 0
5) Then the two factors are: (5x + 3) and (2x + 1).
6) verify:
(5x + 3)(2x + 1) = 10x² + 5x + 6x + 3 = 10x² + 11x + 3 which is the original expression.
Explanation:
I will find the two factors of 10x² + 11x + 3.
You can use either the quadratic formula of factor.
I will use the quadratic formula:
1)
x = -3/5 and x = -1/2
2) the factors are: x - (-3/5) = 0 and x - (-1/2) = 0
Simplify them.
3) x - (-3/5) = 0
5x + 3 = 0
4) x - (-1/2) = 0
2x + 1 = 0
5) Then the two factors are: (5x + 3) and (2x + 1).
6) verify:
(5x + 3)(2x + 1) = 10x² + 5x + 6x + 3 = 10x² + 11x + 3 which is the original expression.
is the result of multiplying (3x-1) to the second power and (x+6) to the second power
Given that we have to find the result of multiplying polynomials (3x-1) to the second power and (x+6) to the second power
"Second power" means the term is raised to power of 2
Therefore,
We have to multiply
We can use the algebraic identity to expand the above expression
Applying these in above expression, we get
Multiply each term in first bracket with each term in second bracket
Simplify the above expression
Combine the like terms
Thus the above expression is the result of multiplying (3x-1) to the second power and (x+6) to the second power