(NEED THIS ASAP)
Match each polynomial with its factorization.
1. y ^2 - y - 2
2. 3y ^2 - 27
3. y^ 4 - 16
4. y^ 2 - 12y + 36
5. -4y ^2 + 8y + 32
6. 5y - 2 + 4y^ 2 - 4
Answers
Answered by
2
1. . y ^2 - y - 2 =(y-2)(y+1)
2.3y ^2 - 27=3 (y^2-9)
=3 (y-3)(y+3)
3. y^ 4 - 16=(y^2-4)(y^2+4)
=(y-2)(y+2)(y^2+4)
4. y^ 2 - 12y + 36 =(y-6)(y-6)
5. -4y ^2 + 8y + 32=-4 (y^2-2y-8)
=-4 (y-4)(y+2)
6. 5y - 2 + 4y^ 2 - 4
=4y^2+5y-6
=4y^2+8y-3y-6
=4y (y+2)-3 (y+2)
=(4y-3)(y+2)
2.3y ^2 - 27=3 (y^2-9)
=3 (y-3)(y+3)
3. y^ 4 - 16=(y^2-4)(y^2+4)
=(y-2)(y+2)(y^2+4)
4. y^ 2 - 12y + 36 =(y-6)(y-6)
5. -4y ^2 + 8y + 32=-4 (y^2-2y-8)
=-4 (y-4)(y+2)
6. 5y - 2 + 4y^ 2 - 4
=4y^2+5y-6
=4y^2+8y-3y-6
=4y (y+2)-3 (y+2)
=(4y-3)(y+2)
Similar questions
Math,
8 months ago
English,
8 months ago
India Languages,
1 year ago
Math,
1 year ago
Social Sciences,
1 year ago
Math,
1 year ago
Math,
1 year ago