Find each product. [(3a+b)-1]2
Table of contents
- 0. Review of Algebra4h 18m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations1h 43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 5m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 22m
- 10. Combinatorics & Probability1h 45m
0. Review of Algebra
Multiplying Polynomials
Multiple Choice
Multiply the polynomials using FOIL.
(4x+7)(−x+6)
A
4x2+17x+42
B
4x2+31x+42
C
−4x2+17x+42
D
−4x2−x+42
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Verified step by step guidance1
Identify the two binomials to be multiplied: (4x + 7) and (-x + 6).
Apply the FOIL method, which stands for First, Outer, Inner, Last, to multiply the binomials.
First: Multiply the first terms of each binomial: 4x * (-x) = -4x^2.
Outer: Multiply the outer terms: 4x * 6 = 24x.
Inner: Multiply the inner terms: 7 * (-x) = -7x.
Last: Multiply the last terms: 7 * 6 = 42.
Combine all the products: -4x^2 + 24x - 7x + 42.
Simplify by combining like terms: -4x^2 + (24x - 7x) + 42.
The simplified expression is: -4x^2 + 17x + 42.
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