MONDAY_Grade10_Activity

What does the Remainder Theorem state about finding the remainder R when a polynomial P(x) is divided by a divisor in the form (x - c)?

• R is obtained by multiplying P(x) by c.

• R is obtained by substituting the value indicator c into the polynomial, i.e., R = P(c).

• R is the quotient of the division.

• R is always zero.

What is the primary purpose of the Remainder Theorem in polynomial division?

• To find the quotient of the division.

• To determine if a polynomial is factorable.

• To quickly find the remainder without performing long division.

• To identify the degree of the polynomial.

When determining the remainder of a polynomial divided by (x - 2), what is the value indicator 'c' that should be substituted into the polynomial?

• -2

• 0

• 2

• x

To find the remainder of x^4 + 4x^3 - x^2 - 16x - 4 when divided by (x - 2), which expression represents the correct substitution according to the Remainder Theorem?

• P(-2) = (-2)^4 + 4(-2)^3 - (-2)^2 - 16(-2) - 4

• P(2) = (2)^4 + 4(2)^3 - (2)^2 - 16(2) - 4

• P(0) = (0)^4 + 4(0)^3 - (0)^2 - 16(0) - 4

• P(x) = x^4 + 4x^3 - x^2 - 16x - 4

What is the remainder when the polynomial x^4 + 4x^3 - x^2 - 16x - 4 is divided by (x - 2)?

• -8

• 0

• 4

• 8

When finding the remainder of 5x^2 - 2x + 1 divided by (x + 2) using the Remainder Theorem, what value should be used for 'c'?

• 2

• -2

• 0

• 1

To find the remainder of 5x^2 - 2x + 1 when divided by (x + 2), which expression represents the correct substitution according to the Remainder Theorem?

• P(2) = 5(2)^2 - 2(2) + 1

• P(-2) = 5(-2)^2 - 2(-2) + 1

• P(x) = 5x^2 - 2x + 1

• P(0) = 5(0)^2 - 2(0) + 1

What is the remainder when the polynomial 5x^2 - 2x + 1 is divided by (x + 2) using the Remainder Theorem?

• 15

• 20

• 25

• 30

When using the Remainder Theorem to divide a polynomial by (x + 2), what value should be substituted for x?

• 2

• -2

• 1/2

• -1/2

What is the remainder when the polynomial 5x² - 2x + 1 is divided by (x + 2)?

• 25

• -25

• 15

• -15