Melany was asked to create an equivalent form of the rational expression −3x2−15x−18x+3 . Which of the following is a correct equivalent form?(1 point)
Responses
This rational expression does not have any equivalent forms.
This rational expression does not have any equivalent forms.
−3x−6
negative 3 x minus 6
−3x−114
negative 3 x minus 114
−3x−24−114x+3
negative 3 x minus 24 minus Start Fraction 114 over x plus 3 End Fraction
To create an equivalent form of the rational expression −3x^2−15x−18x+3, we can simplify it by combining like terms.
Start by combining the constants: -15x and -18x becomes -33x.
The expression now becomes: −3x^2−33x+3.
Therefore, the correct equivalent form is −3x^2−33x+3.
The equivalent form of the rational expression −3x2−15x−18x+3 is −3x−6.
This is done by combining like terms:
−3x2−15x−18x+3
= −3x2 - 33x + 3
= −3(x2 + 11x - 1)
= −3x - 33.
Therefore, the equivalent rational expression is −3x−6.
To find an equivalent form of the rational expression −3x^2−15x−18x+3, we can try to simplify it by factoring the expression.
First, let's group the terms and factor out any common factors.
−3x^2−15x−18x+3 can be rewritten as:
-3x(x + 5) - 3(6x - 1)
Now, we can simplify further:
-3x(x + 5) - 3(6x - 1)
= -3x(x + 5) - 18x + 3
This form is different from the options given. Therefore, the correct answer is:
This rational expression does not have any equivalent forms.