Question

Factor the following equations to find the zeros of the equation.

j = (p - 4)(p + 5)(p - 3)
1) 4, -5, 3
2) -4, -5, -3
3) -4, -5, 3
4) -4, 5, -3

Answer 1

1) 4, -5 and 3 are the ZEROES of the expression j = (p - 4)(p + 5)(p - 3)

Explanation:

Here, the given phrase is:

j = (p - 4)(p + 5)(p - 3)

Now, here j is Expressed as the product of roots.

(p - 4),(p + 5) and (p - 3) are 3 given roots of the polynomial j.

Now, if (x-a) is the ROOT of the polynomial, then x = a is the ZERO of the POLYNOMIAL.

In this given expression:

(p-4) is the ROOT⇒ 4 is the ZERO of the polynomial j.

(p+5) is the ROOT⇒ (-5) is the ZERO of the polynomial j.

(p-3) is the ROOT⇒ 3 is the ZERO of the polynomial j.

Hence, here 4, -5 and 3 are the ZEROES of the expression

j = (p - 4)(p + 5)(p - 3)