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Sara is told that 5 is a zero of $p (x) = 2 x^{2} - 7 x - 15$ .
Using this, what is the other zero of the polynomial?

Class 10Zeroes of a PolynomialAlgebra — Polynomials

A $- \frac{3}{2}$
B $\frac{3}{2}$
C-5
D $\frac{15}{2}$

Step-by-Step Solution

Product of zeroes =

\frac{c}{a} = - \frac{15}{2}

. If one zero is 5, the other is

\frac{- 15/2}{5} = - \frac{3}{2}

. Check:

2 (\frac{9}{4}) - 7 (- \frac{3}{2}) - 15 = 4.5 + 10.5 - 15 = 0

.

Answer: A)

- \frac{3}{2}

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