y=2(x−6)(x+1) a) What are the x intercepts? b) What is the standart form of the equation?

Question

y=2(x−6)(x+1)  a) What are the x intercepts?  b) What is the standart form of the equation?

peterpan7117i · Accepted Answer

Step 1  We have:  y=2(x−6)(x+1)  a) Put y=0  Or, 2(x−6)(x+1)=0  Or, (x−6)(x+1)=0  Or, x−6=0 or x+1=0  Or, x=6 or x=−1  So, x-intercepts are: 6 and -1  b) We have:  y=2(x−6)(x+1)  Or, y=2(x(x+1)−6(x+1))  Or, y=2(x2+x−6x−6)  Or, y=2(x2−5x−6)  Or, y=2x2−10x−12

otoplilp1 · Accepted Answer

Step 1  Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:  y−(2×(x−6)×(x+1))=0  y−2×(x−6)×(x+1)=0  y−2x2+10x+12=0  Solve y−2x2+10x+12=0  In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.  We shall not handle this type of equations at this time.

karton · Accepted Answer

Step 1 Expand the expression y=2x2−10x−12 Step 2 Separate the constants and variables 2x2+10x=−y−12 Step 3 Multiply or divide to change the leading coefficient to 1 x2−5x=y+122 Step 5 Separate the constants and variables (x−52)2=y+122+254 Step 6 Add or subtract the fractions (x−52)2=2y+494 Step 7 Take the root of both sides x−52=2y+494 or x−52=−2y+494 Solve x=2y+49+52 or x=−2y+49+52 Step 8 b) Use the distributive property to multiply 2 by x-6 y=(2x-12)(x+1) Use the distributive property to multiply 2x-12 by x+1 and combine like terms. y=2x2−10x−12

y=2(x-6)(x+1) a) What are the x intercepts? b) What is the standart

Answered question

Answer & Explanation

New Questions in Algebra I