What is the discontinuity and zero of the function f(x) = the quantity of 2 x squared plus 5 x minus 12, all over x plus 4? a. discontinuity at (-4, -11), zero at (three halves , 0) b. discontinuity at (-4, -11), zero at (negative three halves , 0) c. discontinuity at (4, 5), zero at ( three halves , 0) d. discontinuity at (4, 5), zero at (negative three halves , 0)

I think the correct answer from the choices listed above is option A. The discontinuity and zero of the function f(x) = the quantity of 2 x squared plus 5 x minus 12, all over x plus would be discontinuity at (-4, -11),zero at (three halves , 0). Hope this answers the question.

Let us manipulate this expression:     by algebraically manipulating, we are not changing the value of this expression.exponent property:     we use that exponent property to decompose those exponents.        move  together with  to set up for factoring by grouping.    factor out  out of the left section    factor out  out of the right section            factor out 10 from the entire thing:         exponent property:       apply:     so a series of manipulations tells is that the above result is equal to the original expression.if we divide  by 10, the 10 factor will cancel out. the entirety of the inside is just a natural number since exponents raised to a natural number results in a natural number answer.so it's divisible by 10.