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WorksheetsREVIEW QUIZ: FACTORING POLYNOMIALS
Total questions: 25
Worksheet time: 18mins
The square of a binomial is a perfect square binomial.
TRUE
FALSE
The factors of a difference of two squares are a sum and a difference of two terms.
TRUE
FALSE
All integers can be written as a product of prime numbers.
TRUE
FALSE
Factoring by grouping is a technique used in factoring where the polynomial’s terms are grouped to find a common factor.
TRUE
FALSE
The first thing to consider in factoring a quadratic trinomial is the product of the leading numerical coefficient and the third numerical coefficient (constant term).
TRUE
FALSE
Any quadratic trinomial with integer coefficients is factorable.
TRUE
FALSE
The product of (x−5)(x2−5x + 25) is x3−125 .
TRUE
FALSE
If xm−yn is a difference of two squares, then only one of m or n should be even integer.
TRUE
FALSE
The expression xm+yn is a difference of two cubes, if both m and n are multiples of three.
TRUE
FALSE
If m and n are both even integers, then xm+yn is factorable.
TRUE
FALSE
Factor the expressions completely by supplying the missing factor(s).
a3−3a=a (a)
Factor the expressions completely by supplying the missing factor(s).
a2−3a−28=(a−7) (a)
Factor the expressions completely by supplying the missing factor(s).
a2−6a−16=(a+2) (a)
Factor the expressions completely by supplying the missing factor(s).
a2+21a+90=(a+15) (a)
Factor the expressions completely by supplying the missing factor(s).
−a2+4a+32=−1 (a)
Factor the expressions completely by supplying the missing factor(s).
−a2−a+2=−1 (a)
Factor the expressions completely by supplying the missing factor(s).
a2b2c+11ab2c+24b2c=b2c (a)
Factor the expressions completely by supplying the missing factor(s).
A. Factor the expressions completely by supplying the missing factor(s).
25−x2=(5−x) (a)
Which of the following is the factored form of the expression
5x2−13x−6?(x-3)(5x+2)
(x+3)(5x+ 2)
(x-3)(x +2)
(x+3)(x+2)
Factor the expression completely: 6x3−4x2−16x
0
2x(3x2−2x−8)
2x(3x+4)(x−2)
4x(2x+1)(x−4)
Is it possible to factor the expression 19x10(y+4)+7(y−4) ? If so, factor it.
Yes: (19x10+7)(y+4)
Yes: (19x10+7)(y−4)
Yes: (19x10+7+4+y)
No
x2−12x+32=(x−8)( )
x - 4
x + 4
x + 8
8 - x
Find the greatest common factor of the terms: 12t, 18
6
36t
6t
12
