Question

Which function has zeros at x = 10 and x = 2?

Answer 1

Step-by-step explanation:

A function y=(x-10)(x-2) will have its zeros at x=10 and x=2.

y=x²-2x-10x+20

y=x²-12x+20.

Answer 2

$x^2 - 12x + 20$ is the function has zeros at x = 10 and x = 2

Solution:

Given that,

Zeros of the function are x = 10 and x = 2

Since, two zeros are present, the function is a quadratic equation

The general form of quadratic equation is:

$x^2 -( \text{ sum of zeros })x + \text{product of zeros} = 0$

Sum of zeros = 10 + 2 = 12

Product of zeros = 10 x 2 = 20

Thus,

$x^2 - 12x + 20 = 0$

Let the function be f(x)

Then,

$f(x) = x^2 - 12x + 20$

Thus the function is found

Learn more:

Find the zeros of the quadratic polynomials given below. Find the sum and product of the zeros and verify relationship to the coefficients of terms in the polynomial.

(i) p(x) = x² – x – 6 (ii) p(x) = x² – 4x + 3

(iii) p(x) = x² – 4 (iv) p(x) = x² + 2x + 1

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