Section 1.4
Find the product.
(3x-7)(x+8) =
(simplify your answer)
3x2 + 17x - 56
Find the product and write the result in standard form.
(7 - 4i)(-8 -6i) =
-80 -10i
(5x-4)(3x+6)
15x2 + 18x -24
15x2y + 10 xy - 105y
5y(3x-7)(x+3)
Factor by grouping
2x2+7x-4
(2x-1)(x+4)
The conjugate of 7-3i is
7 + 3i
Find the following product and write the result in standard form, a + bi.
(-5+i)(-5-i) =
26
(9-4y)(4-5y)
20y2 - 61y + 36
1211/2
11
Slide/divide
2x2+7x-4
(2x-1)(x+4)
The division 2 + 4i / 7 - 5i is performed by multiplying the numerator and denominator by
7 + 5i
Multiply.
(8 + 9i)2 =
-17 + 144i
(4y-7)2
16y2 -56y +49
491/2
7
Factor by grouping
3x2-2x-5
(3x-5)(x+1)
Write the expression in the standard form a + bi
(7 + 7i) - (9 - 7i) =
-2 + 14i
Divide and express the result in standard form.
9 / 3 - i =
27/10 + 9/10 i
Factor.
x3 -4x2 +4x -16 =
(x-2)(x+2)
Square root 21 * square root 15
3 root 35
Slide/divide
3x2-2x-5
(3x-5)(x+1)
Subtract.
6i - (13 - 7i) =
-13 + 13i
Divide and express the result in standard form.
2i / 5 - 6i =
-12/61 + 10/61 i
(2x2-3)2
4x4 -12x2+9
Square root 8x * square root 2x
Method of choice
*GCF to simplify
8x2+20x-12
4(x+3)(2x-1)