Question

if one zero of the polynomial ax2+15x+6 is reciprocal of the other then find the also fiind the zeroes of the polynominal

Answer 1

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Answer 2

Answer:

Concept :

A quadratic function in algebra is a polynomial function with one or more variables in which the highest-degree term is of the second degree. It is sometimes referred to as a quadratic polynomial, a polynomial of degree 2, or just a quadratic. A quadratic polynomial without complex roots and having just two real roots (crossings of the x axis). There are two complex roots and no real roots in certain other quadratic polynomials because they have their minimum above the x-axis. As an illustration, a univariate (single-variable) quadratic function has the form f(x)=ax2+bx+c, quad aneq 0 in the single variable x.

Explanation:

Let the 2 zeros be x and 1/x

Product = $x$ * $\frac{1}{ x}$

•°•  $\frac{6}{a}$ =1

a = 6

6$x^{2}$ + 15$x$ + 6 = 0

÷by 3

2$x^{2}$ + 5$x$ + 2 = 0

The two factors are 4 and 1

2$x^{2}$ + 4$x$ + 1$x$ + 2 = 0

2$x$ ($x$+2) + 1 ($x$+2) = 0

$x$ = $\frac{-1}{2}$ , -2 are the zeros

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