Quadratic to Add To M and Multiply to N - with Negatives (Level 1)

This math topic focuses on identifying pairs of integers that meet specific criteria related to quadratic expressions. The problems require students to find pairs of integers that, when added and multiplied together, yield given numbers. These skills are foundational for understanding methods used in solving quadratic equations, particularly regarding the sum and product of roots. The problems range from basic to more challenging scenarios, involving both positive and negative integers, to enhance problem-solving skills within the context of polynomials and quadratic expressions.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Algebraic Functions - Quadratic to Add To M and Multiply to N - with Negatives Worksheet

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Algebraic Functions - Quadratic to Add To M and Multiply to N - with ...
1
Which pair of integers add to -2 and multiply to -24?
A LaTex expression showing x to the power of 2 - 2x + -24\\=(x+a)(x+b)
a
-6, 4
b
-8, 5
c
-10, 6
d
-5, 7
e
-6, 8
f
-10, 2
2
Which pair of integers add to -14 and multiply to 45?
A LaTex expression showing x to the power of 2 - 14x + 45\\=(x+a)(x+b)
a
-5, -10
b
-5, -9
c
-6, -10
d
-6, -9
e
-4, -11
f
-3, -6
3
Which pair of integers add to -5 and multiply to 6?
A LaTex expression showing x to the power of 2 - 5x + 6\\=(x+a)(x+b)
a
-3, -3
b
1, 1
c
-2, -3
d
2, -3
e
1, -4
f
1, -6
4
Which pair of integers add to -3 and multiply to -18?
A LaTex expression showing x to the power of 2 - 3x + -18\\=(x+a)(x+b)
a
-8, 3
b
-8, 1
c
-9, 0
d
-7, 0
e
-11, -2
f
-6, 3
5
Which pair of integers add to -10 and multiply to 9?
A LaTex expression showing x to the power of 2 - 10x + 9\\=(x+a)(x+b)
a
-6, -10
b
-1, -9
c
-1, -6
d
2, -13
e
-1, -8
f
-3, -5
6
Which pair of integers add to 0 and multiply to -4?
A LaTex expression showing x to the power of 2 + 0x + -4\\=(x+a)(x+b)
a
-4, -2
b
-7, 2
c
-2, 2
d
-3, 0
e
-6, 2
f
1, -3
7
Which pair of integers add to 6 and multiply to 5?
A LaTex expression showing x to the power of 2 + 6x + 5\\=(x+a)(x+b)
a
1, 4
b
1, 3
c
-1, 8
d
1, 5
e
-2, 6
f
0, 4
8
Which pair of integers add to -3 and multiply to -4?
A LaTex expression showing x to the power of 2 - 3x + -4\\=(x+a)(x+b)
a
-5, 5
b
-8, -2
c
-2, -3
d
-9, -1
e
-7, 1
f
-4, 1