Factor: 8x2 10x - 25
Practice factoring a trinomial in which the last term is negative: 8x2 10x - 25.
Series: Factoring, Part Three
Subject: factor
Transcript: LIST ALL OF THE POSSIBLE FACTORS OF NEGATIVE 200, LET'S SEE IF THERE ARE ANY OBVIOUS FACTORS THAT MIGHT WORK. THE PRODUCT OF 20 AND NEGATIVE 10 IS
Solve: 2x2 - 15x 18 = 0
Practice solving a quadratic equation: 2x2 - 15x 18 = 0
Subject: factor
Transcript: 'LL BEGIN BY FACTORING THE TRINOMIAL ON THE LEFT SIDE OF THE EQUATION. TO FACTOR, WE NEED TO FIND TWO NUMBERS WHOSE PRODUCT IS 2 TIMES 18. THAT'S 36. THEIR
Factor: xy 18 6y 3x
Practice factoring: xy 18 6y 3x
Series: Factoring, Part Two
Subject: factor
Transcript: WE CAN USUALLY GROUP POLYNOMIALS LIKE THIS A COUPLE OF DIFFERENT WAYS. LOOK AT THE FIRST TWO TERMS OF THIS EXPRESSION, THEY HAVE NO COMMON FACTOR
Factoring Binomials That Are The Difference of Two Perfect Squares
MM_ALG_21K_014
Series: Factoring, Part Two
Subject: factor
Transcript: WE'VE SEEN HOW TO FACTOR POLYNOMIALS BY GROUPING AND BY LOOKING FOR COMMON FACTORS. HOWEVER, SOME TYPES OF POLYNOMIALS CAN'T BE FACTORED EITHER WAY
Factoring Perfect Square Trinomials
The perfect square trinomial is a polynomial that can be factored using a special formula. In standard form, the first and last terms of a perfect
Series: Factoring, Part Two
Subject: factor
Transcript: HERE'S ANOTHER TYPE OF POLYNOMIAL THAT CAN BE FACTORED BY USING A SPECIAL FORMULA, IT'S CALLED A PERFECT SQUARE TRINOMIAL. LET'S TAKE A CLOSE LOOK
NOTE TITLE CHANGE: Multiplying Three Rational Expressions
A multiplication problem involving three rational expressions is demonstrated.
Subject: factor
Transcript: FACTORING THE POLYNOMIALS IN EACH RATIONAL EXPRESSION. IN THE FIRST EXPRESSION, THE FACTORS OF THE NUMERATOR ARE N PLUS 2 AND N MINUS 1. THE FACTORS OF THE
Denominator of a Simplified Expression Never Has Radicals, The
A guideline is presented: a simplified radical expression never has radicals in the denominator. An expression with a radical in the denominator, but not in the numerator, is simplified using the identity property of multiplication and the process o...
Subject: factor
Transcript: SO FAR WE'VE LEARNED SEVERAL GUIDELINES FOR SIMPLIFYING RADICALS. THERE ARE NO PERFECT SQUARE FACTORS IN THE RADICAND OF EACH TERM. EACH TERM HAS NO
Dividing Rational Expressions: Two Practice Problems
Practice problems for dividing rational expressions.
Subject: factor
Transcript: . NEXT, WE'LL FACTOR EACH EXPRESSION. THE NUMERATOR OF THE FIRST EXPRESSION CAN'T BE FACTORED, SO WE'LL LEAVE IT AS IT IS. WE CAN FACTOR THE DENOMINATOR
Division with a Binomial in the Numerator
Examples of simplifying radical expressions with division when numerators contains a binomial.
Subject: factor
Transcript: , THERE'S NO COMMON RADICAL FACTOR. WE CAN SIMPLIFY THE RADICAL. THE SQUARE ROOT OF 12 EQUALS 2 TIMES THE SQUARE ROOT OF 3. NOW WE'LL DIVIDE. BE CAREFUL
Evaluating a Rational Expression
The method of substituting a value for the variables in a rational expression is called evaluating an expression.
Subject: factor
Transcript: THE DENOMINATOR? TO FIND OUT, SET THE DENOMINATOR EQUAL TO 0, AND SOLVE THE EQUATION BY FACTORING. THE FACTORS OF THE DENOMINATOR ARE A AND A PLUS 1