Math 10 Reviewer

Find the roots of the polynomial (x + 2)(x – 2) (x – 5) = 0.

• -2, 2, and 5

• -2, 2, and -5

• -2 and 5

• 2 and -5

If P(2) = 0, which of the following statements is true about P(x)?

• 2 is a root of P(x) = 0     

• (x - 2)  is a factor of P(x)

• P(x) = 0 has 2 roots.

• P(0) = 2

• 24

• 30

• 35

• 50

If the roots of the polynomial are 2, 4, and -5, then what are the factors?

• (x – 2)(x – 4)(x – 5) 

• (x – 2)(x – 4)(x + 5)

• (x + 2)(x + 4)(x – 5)

• (x + 2)(x – 4)(x – 5)

•  x – 5

• x – 2

• x + 2

• x + 5

Every polynomial equation of degree n has how many real roots?

• n

• n+1

• n-1

• 2n

The following are polynomial equations EXCEPT

• (3x + 1)(4x – 5) = 0

• (x + 4)(x – 1) = 0

• x – 2 = 0

The graph of a polynomial function falls to the right if ___________________________.

• the leading term is positive

• the leading term is negative

• the degree of the polynomial is odd

• the degree of the polynomial is even

Which of the following must be done for the polynomial P(x) = -4x³ – x³ + 5x – 6 to have a rising to the right behavior?

• The number of terms of the polynomial must be increased.

• The sign of the constant term -6 must be changed to positive.

• The sign of the leading term -4x³ must be changed to positive.

• The degree of the polynomial must be changed from odd to even.

Your classmate encounters difficulties solving the roots of f(x) = 5x⁴ + 3x² – 10x + 1. If he could find one root, how many more roots is he supposed to find to solve the function completely?

• One

• Two

• Three

• Four