Q1:W6:PRETEST

Which of the following is a polynomial?

 $i.\ 5x3+8x–3x2+1$   $ii.\ 2x-4+x4–5x+7$   $iii.\ \frac{3𝑥}{3−4𝑥−5}$  

• i only

• ii only

• i and ii

• i and iii

The following are examples of polynomials, except:

• 𝑥³ – 5x + 6

• 2𝑥⁻⁵ + 7x – 5

• 5x⁴ + 2x³ – 4x +1

• 8x³ – 27y³

The leading coefficient of the polynomial x¹⁰ + 4x¹³ – 3x² + 7x¹¹ + 5x – 6 is:

• -3

• 1

• 4

• 7

What is the quotient when x² – 36 is divided by x + 6?

• x + 8

• x - 8

• x + 6

• x - 6

Which expression gives the remainder when P(x) = 3x² + x – 2 is divided by (x – 1).

• P(3)

• P(2)

• P(1)

• P(-1)

Find the remainder when (x⁹ + 2x⁸ + 3x⁷ +…+ 9x) is divided by (x – 1)

• 45

• 90

• 180

• 360

The remainder after dividing (-10x³ + 5x² + K) by (x + 1) is 16. Which of the following is the value of k?

• -1

• 0

• 1

• 2

Which of the following polynomials is exactly divisible by (3x+1)?

• 6x² + 17x + 5

• 9x² + 6x + 1

• 3x³ + 4x² – 8x – 3

• all of the above

Which of the following is the factored form of x³ +4x² + x – 6?

• (x – 1) (x + 2) (x + 3)

• (x – 1) (x – 2) (x + 3)

• (x + 1) (x – 2) (x + 3)

• (x + 1) (x + 2) (x – 3)

Which polynomial gives a quotient of (3x² + 2x +4) and a remainder of 19 when divided by (2x-3)?

• 6x³ – 5x² + 2x

• 6x³ – 5x² + 4x + 7

• 6x³ – 5x² + 2x + 7

• 6x³ + 5x² + 2x +7