ALIG-GRADE10 MATH 2ND QUARTER

1. It refers to the common factor having the greatest numerical factor and having the least degree.

A) Polynomial function
B) Factoring Polynomial
C) Greatest common factor

2. What do we call in rewriting a polynomial as a product of polynomials of smaller degree.

A) Greatest common factor
B) Greatest common factor
C) Factoring Polynomial

3. The difference of two squares is the product of sum and difference of those terms

A) false
B) True
C) maybe

4. what is the GCF of

A) 24x
B) 8x
C) 8x³
D) none of these

5. Find the GCF of

A) a
B) d
C) b
D) c

A) d
B) c
C) b
D) a

7. Find the real roots of the equation: x+3

A) x =1/3
B) x=3
C) x = 2
D) x =-3

8. Find the real roots of the equation:

A) x= 0{2 times},1.-3
B) x= 0{2 times},1,-1,-3
C) x= 0{2 times},1,-1,3
D) x= 0{2 times}1,3

9. What is the factored form of

A) 2x(x+3)
B) x(2x+6)
C) 2x(2x+3)
D) 3x(x+2)

10. What is the factored form of

A) x(x+1)
B) 2x+1
C) 2x(x+1)
D) x(2x+1)

11. What is the factored form of

A) (x-y)(x+y)
B) (x-y)(x-y)
C) (x+y)(x+y)
D) none of these

12. What is the factored form of

A) 3x+10(3x-10)
B) none of these
C) 3x(3x-10)
D) (3x+10)(3x-10)

A) a
B) d
C) b
D) c

A) b
B) c
C) a
D) d

A) b
B) d
C) c
D) a

16. Which of the following is a polynomial equation?

A) c
B) a
C) b
D) d

17. What is the degree of the polynomial equation 3x⁴ - 2x³ + x² - 5 = 0?

A) 3
B) 1
C) 4
D) 2

18. Which of the following polynomial equations has a leading coefficient of 2?

A) 2x³ - 3x² + x - 1 = 0
B) x³ - 2x² + 3x - 1 = 0
C) x³ - 2x² + 3x - 1 = 0
D) 3x² + 3x - 1 = 0

19. What is the solution to the polynomial equation x² - 9 = 0?

A) x = 3 or x = -3
B) x = 3
C) x = -3
D) x = 0

20. Which of the following graphs represents a polynomial function of degree 2?

A) A sinusoidal curve
B) A parabola
C) A cubic curve
D) A straight line

21. What is the value of the polynomial function f(x) = x² + 2x - 3 when x = 2?

A) 3
B) 9
C) 7
D) 5

22. Which of the following polynomial functions has a leading coefficient of 2 and a degree of 3?

A) f(x) = x³ + 2x² - 3x + 1
B) f(x) = x² + 2x - 3
C) f(x) = 2x² - 3x + 1
D) f(x) = 2x³ - 3x² + x - 1

23. What is the degree of the polynomial function f(x) = 3x⁴ - 2x³ + x² - 5?

A) 3
B) 2
C) 5
D) 4

24. Which of the following is a polynomial function?

A) f(x) = 2x² + 3x - 4
B) f(x) = 2^x
C) f(x) = 2x^-2 + 3x - 4
D) f(x) = |2x + 3|

25. Which of the following statements is true about the graph of a polynomial function of even degree with a positive leading coefficient?

A) The graph opens upward
B) The graph has exactly one x-intercept
C) The graph opens downward
D) The graph has no x-intercepts

26. What can be said about the graph of a polynomial function with a degree of 3 and a negative leading coefficient?

A) the left end is rising and the right end is falling
B) the left end is falling and the right end is rising
C) both left and right end is falling
D) both left and right end is rising

27. What can be said about the graph of a polynomial function with a degree of 6 and a negative leading coefficient?

A) both left and right end is falling
B) both left and right end is falling
C) the left end is falling and the right end is rising
D) the left end is rising and the right end is falling

28. What can be said about the graph of a polynomial function: f(x)= x⁶-2x⁴+x³+2x-1

A) the left end is falling and the right end is rising
B) both left and right end is falling
C) both left and right end is rising
D) both left and right end is falling

29. For what set of values of a and n will you consider so that the function could define the graph on the right?

A) a is positive, n is odd
B) a is negative, n is odd
C) a is positive, n is even
D) a is negative, n is even

30. The standard form of the polynomial function is

A) decreasing
B) increasing

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