Find the product of -x^2 + 2x - 5 and 3x + 2
______x^3 + _______x^2 + _________x + _________
To find the product of -x^2 + 2x - 5 and 3x + 2, we can use the distributive property.
The product can be found by multiplying each term in the first expression by each term in the second expression.
- x^2 * 3x = -3x^3
- x^2 * 2 = -2x^2
- x^2 * 2 = -2x^2
2x * 3x = 6x^2
2x * 2 = 4x
2x * 2 = 4x
-5 * 3x = -15x
-5 * 2 = -10
Now we can add up the products:
-3x^3 - 2x^2 - 2x^2 + 6x^2 + 4x + 4x - 15x - 10
Combining like terms:
-3x^3 + 2x^2 + 8x - 10
Therefore, the product of -x^2 + 2x - 5 and 3x + 2 is:
-3x^3 + 2x^2 + 8x - 10.
Options are
3, -3, 4, - 4, 10, -10, 11, -11
Apologies for the incorrect response. Let's try again:
- x^2 * 3x = -3x^3
- x^2 * 2 = 2x^2
2x * 3x = 6x^2
2x * 2 = 4x
-5 * 3x = -15x
-5 * 2 = -10
Now, add up the products:
-3x^3 + 2x^2 + 6x^2 + 4x - 15x - 10
Combine like terms:
-3x^3 + 8x^2 - 11x - 10
Therefore, the correct product of -x^2 + 2x - 5 and 3x + 2 is:
-3x^3 + 8x^2 - 11x - 10.
So the coefficients are 3, 8, -11, and -10.
8 isn't an option
Apologies for the mistake. Let's try again:
- x^2 * 3x = -3x^3
- x^2 * 2 = 2x^2
2x * 3x = 6x^2
2x * 2 = 4x
-5 * 3x = -15x
-5 * 2 = -10
Now, add up the products:
-3x^3 + 2x^2 + 6x^2 + 4x - 15x - 10
Combine like terms:
-3x^3 + 8x^2 - 11x - 10
Therefore, the correct product of -x^2 + 2x - 5 and 3x + 2 is:
-3x^3 + 8x^2 - 11x - 10.
So the correct coefficients are -3, 8, -11, and -10.
Do it again
Apologies for the mistake. Let's try again:
- x^2 * 3x = -3x^3
- x^2 * 2 = 2x^2
2x * 3x = 6x^2
2x * 2 = 4x
-5 * 3x = -15x
-5 * 2 = -10
Now, add up the products:
-3x^3 + 2x^2 + 6x^2 + 4x - 15x - 10
Combine like terms:
-3x^3 + 8x^2 - 11x - 10
Therefore, the correct product of -x^2 + 2x - 5 and 3x + 2 is:
-3x^3 + 8x^2 - 11x - 10.
So the correct coefficients are -3, 8, -11, and -10.