Question

hello guyz plz answer the questions fastly!!!!​

Answer 1

Answer:

1.polynomial⏩an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

2.The remainder theorem states the following: If you divide a polynomial f(x) by (x - h), then the remainder is f(h). The theorem states that our remainder equals f(h). Therefore, we do not need to use long division, but just need to evaluate the polynomial when x = h to find the remainder.

3.we know that P(x) = q(x)×g(x)+r(x)

p(x) = f(x) = ?

q(x) = x²-2x-3

g(x) = x²-5

r(x) = 0

1 ]

f(x) = q(x)×g(x)+r(x)

f(x) = (x²-2x-3)×(x²-5)+0

f(x) = x²(x²-2x-3)-5(x²-2x-3)

f(x) = x⁴-2x³-3x²-5x²+10x+15

f(x) = x⁴-2x³-8x²+10x+15

2 ]

x⁴-2x³-8x²+10x+15 = 0

(x+√5) • (x- √5) • (x + 1) • (x - 3) = 0

so zeroes are

x = -√5

x = +√5

x = -1

x = 3

THIS is an example solve yourself

4.hint:in question 3 answér

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Answer 2

1) polynomial:-

an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

2) Remainder theorem:-

The theorem states that our remainder equals f(h). Therefore, we do not need to use long division, but just need to evaluate the polynomial when x = h to find the remainder.

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