Question

Evaluate & - 7x3 + 3x2 +11x - 9 for x = -2​

Answer 1

Hey,

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Question :-

Evaluate the following when x = -2

p(x) = -7x³ + 3x² + 11x - 9

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Solution :-

p(x) = -7x³ + 3x² + 11x - 9

Putting the values of x as -2

p(-2) = -7(-2)³ + 3(-2)² + 11(-2) - 9

p(-2) = 56 + 12 - 22 - 9

p(-2) = 37

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Further Information :-

1. Let f(x) be a polynomial of degree x > 1 and let a be any real number. When f(x) is divided by (x - a), then the remainder is f(a). (Remainder Theorem)

2. Let f(x) be a polynomial of degree greater than or equal to 1 and a be any real number such that p(a) = 0, then (x - a) is a factor of f(x). (Factor Theorem)

3. An algebraic expression in which the variables involved have oy non - negative integral powers is called a polynomial. (Non - negative integrals :- 0, 1, 2, 3, 4, 5...) whose powers are not in negative or fraction.

　

Hope That Helps :)

@MagicHeart~

Answer 2

$= \: - 7 {x}^{3} + 3 {x}^{2} + 11x - 9$

$= \: - 7 {( - 2)}^{3} + 3 { (- 2)}^{2} + 11( - 2) - 9$

$= \: - 7( - 8) + 3(4) - 22 - 9$

$= \: 56 + 12 - 22 - 9$

$= \: 68 - 31$

$= 37$