Q. Expand.Your answer should be a polynomial in standard form.(6x+1)(1−3x)=
Apply distributive property: Apply the distributive property to expand the expression (6x+1)(1−3x).Distribute each term in the first polynomial 6x+1 with each term in the second polynomial 1−3x.(6x+1)(1−3x)=6x(1)+6x(−3x)+1(1)+1(−3x)
Multiply terms: Multiply the terms.Multiply 6x by 1, 6x by −3x, 1 by 1, and 1 by −3x.6x(1)=6x6x(−3x)=−18x21011
Combine results: Combine the results from Step 2.Combine the terms to get the expanded form of the polynomial.(6x+1)(1−3x)=6x−18x2+1−3x
Combine like terms: Combine like terms.Combine the terms with x to simplify the expression further.(6x+1)(1−3x)=−18x2+6x−3x+1(6x+1)(1−3x)=−18x2+3x+1
Write in standard form:Write the polynomial in standard form.The standard form of a polynomial is written with the highest degree term first, followed by the terms in descending order of degree.(6x+1)(1−3x)=−18x2+3x+1