Question

find the product of zeros of polynomial P(x) = x^2 - 9 x - 10​

Answer 1

Answer:

we can use factarisation method

Answer 2

QUESTION:

find the product of zeros of polynomial P(x) = x^2 - 9 x - 10

ANSWER:

There are two ways to find the product of the zeroes of polynomial.

1. Factorised it and find zeroes

2. By using formula

Method 1 :

1. Split the middle term in such a way that it's sum equal to b i.e -9 and product equal to a ×c that is -10.

${x}^{2} - 9x - 10 \\ {x}^{2} - 10x + x - 10$

2. TAKING common

$x(x - 10) + 1(x - 10)$

$(x + 1)(x - 10)$

so;

$x + 1 = 0 \\ x = - 1 \\ \\ \\ x - 10 = 0 \\ x = 10$

$zeroes \: are \: - 1 \: and \: 10$

product of zeros =

$- 1 \times 10 \\ - 10$

Method 2.

We used the formula here;

$\huge\pink{product \: of \: zeroes = \frac{constant \: term}{coefficient \: of \: {x}^{2} } }$

putting thevalue in the formula;

$product = \frac{ - 10}{1}$

$product \: = - 10$

FINAL ANSWER;

$\huge\red{- 10}$

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