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 ?
Factor -20xy+4y2+25x2
(5x-2y)2
Factor 2xy-x2y-6+3x
(2-x)(xy-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.
Factor 6x6+x3-2
(3x3+2)(2x3-1)
Factor 3x3y+18x2y-21xy
3xy(x+7)(x-1)
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
Factor 5x2y3+15x3y2
5x2y2(y+3x)
Factor 5x3y-35x2y+50xy
5xy(x-5)(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
Factor x3+8x2-x-8
(x+8)(x+1)(x+1)
Factor p2q-25q+3p2-75
(q+3)(p+5)(p-5)
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
Factor t6-64
(t+2)(t2-2t+4)(t-2)(t2+2t+4)
Factor 0.04a2-0.49b2
(0.2a+0.7b)(0.2a-0.7b)
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