Easy
Can be expressed in terms that only have positive integer exponents and the operations
Polynomial
What is the sum of 3x² + x + 8 and x² - 9 ?
What are the zeros of x2+x-6
(-3,0), (2,0)
What is the remainder of 2x4-3x3-4x+3 divided by x-2
3
What are the real roots of f(x)= x3-5x2+2x+8?
Real roots: -1,2,and 4
What are the special names for polynomials?
monomial, binomial,trinomial
What is the difference between a binomial and a trinomial?
Answer: A binomial has two terms and the trinomial has three terms.
What are the zeros of 2x3+5x2-8x-20
(-2,0),(2,0),(-5/2,0)
If the cubic function P(x) includes the points (-1,0), (-2,0), (3,0), and (0,-12), what is the equation for this function?
P(x) = 2(x+1)(x+2)(x-3)
State the possible rational zeros and real roots of f(x) = 5x3 +29x2+19x-5.
Possible rational zeros: ±1, 5, 1/5
Real roots: -1, -5, and 1/5
The expression 2x² - x² is equivalent to?
Answer: x²
Which expression is equivalent to
-3x(x - 4) - 2x(x + 3)?
Answer: -5x² + 6x
What are the zeros of
(3,0),(1,0),(-2,0)
If the cubic function P(x)P(x) includes the points (-4,0),(0,0), and (2,0), what is the equation for this function?
P(x)=x(x+4)(x-2)
State the possible rational zeros and real roots of f(x)=4x3-9x2+6x-1.
Possible rational zeros: ±1, 1/2, 1/4
Real roots: 1, 1, and 1/4
What is the answer when (x² - 5x - 2) is subtracted from (-6x² - 7x - 3) ?
Answer: -7x² -2x - 1
What is (5x – 4y) – (5x + 4y) equivalent to?
Answer: -8y
What are the zeros of x3+8x2-x-8
(-8,0),(-1,0) with a mult. of 2
What are the zeros of the polynomial y = (3x – 1) (x + 2) (2x + 1) ?
(1/3,0),(-2,0)(-1/2,0)
State the possible rational roots and real roots of f(x)= 3x4-10x3-24x2-6x+5.
Possible rational zeros: ±1, 5, 1/3, and 5/3
Real roots: -1, -1, 5, 1/3
What are the roots of g(x) = 3x2 - 7x - 20?
Answer: -5/3 and 4
What is the product when 7r2-6r-6 is multiplied by 2r-4?
14r3-40r2+12r+24
What are the real zeros of x6-64
(-2,0),(2,0)
Solve the polynomial equation 𝑥3 + 𝑥2 − 8𝑥 − 12 =0
x=3, x=-2
What are the possible rational roots and real roots of f(x)= 5x4-46x3+84x2-50x+7?
Possible rational zeros: ±1, 7, 1/5, and 7/5
Real roots: 1, 1, 7, and 1/5