6.2 U-Substitution

Find the solutions using u-sub of the following polynomial. x^4 + 9x^2 - 52 = 0

• None of these are correct

•  $-\sqrt{13}\ ,\ -\sqrt{11},\ 1\ ,\ 32$  

•  $-\sqrt{7}\ ,\ 2\sqrt{2},\ 1\ ,\ 4$  

•  $-i\sqrt{11}\ ,\ i\sqrt{11},\ 4\ ,\ 8$  

• 
  

   $-i\sqrt{13},\ -2,\ \ 2,\ \ i\sqrt{13}$  

Tags

CCSS.HSA-REI.B.4B

Find the solutions using u-sub of the following polynomial. x^4 - 14x^2 + 33 = 0

• U - Sub is not applicable for this problem

•  $\pm\sqrt{11}\ ,\ \pm\sqrt{3}\ \$  

•  $\pm\sqrt{7}\ ,\ \pm\sqrt{3}\ \$  

•  $-\sqrt{3}\ ,\ \sqrt{1},\ \ 3\ ,\ 11$  

• 
  

   $\pm\sqrt{13}\ ,\ \pm\sqrt{5}\ \$  

Tags

CCSS.HSA-REI.B.4B

Find the solutions using u-sub of the following polynomial. x⁴ - 34x² + 225 = 0

• -9, -1, 1, 25

• -25, -9 , 1, 1

• -45, -1, 1 ,1

• -5, -3, 3, 5

• I don't know and give up.

Tags

CCSS.HSA-REI.B.4B

Given that one sol is 7. Use synthetic div then u-sub of the following polynomial. x⁵ - 7x⁴ + 3x³ -21x² + 2x - 14 = 0

• +- i * root2, +-i , 7

• +- i * root7, +-i root2 , 7

• +- root2, +-1 , 7

• none of these

• I don't know and give up.

Tags

CCSS.HSF-IF.C.7C

Use synthetic div to find the one integer root then u-sub of the following polynomial. x⁵ - 3x⁴ - 5x³ + 15x² - 24x + 72 = 0 What is the +- root answers?

• 9, 11

• 2, 6

• 5, 7

• 3, 2

• 8 , -3

Use synthetic div to find the one integer root then u-sub of the following polynomial. x⁵ + 4x⁴ - 10x³ - 40x² + 25x + 100 = 0 What is the +- root answers?

• 5

• 2, 6

• 5, 7

• 3, 2

• 2 , -11

Another way to think of a polynomial is....

• They are lame

• a product of linear

• the solution is always -b/2a

• 2 + 2 = 5

• a number can be broken into a unique product of primes

Tags

CCSS.HSA-REI.B.4B

When looking to factoring any polynomial, what should be the first factor step you should always look for?

• See if the quadratic is a different of squares

• Immediately give up and ask your math teacher the answer to this question.

• Subtract the constant term is always the first step.

• FTA, use the fundamental theorem of Algebra

• GCF, Greatest Common Factor